100,000 (one hundred thousand) is the

natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...

following 99,999 and preceding 100,001. In scientific notation, it is written as 10⁵.

Terms for 100,000

Bangladesh Bangladesh, officially the People's Republic of Bangladesh, is a country in South Asia. It is the List of countries and dependencies by population, eighth-most populous country in the world and among the List of countries and dependencies by ...

India India, officially the Republic of India, is a country in South Asia. It is the List of countries and dependencies by area, seventh-largest country by area; the List of countries by population (United Nations), most populous country since ...

Pakistan Pakistan, officially the Islamic Republic of Pakistan, is a country in South Asia. It is the List of countries and dependencies by population, fifth-most populous country, with a population of over 241.5 million, having the Islam by country# ...

and

South Asia South Asia is the southern Subregion#Asia, subregion of Asia that is defined in both geographical and Ethnicity, ethnic-Culture, cultural terms. South Asia, with a population of 2.04 billion, contains a quarter (25%) of the world's populatio ...

, one hundred thousand is called a

lakh A lakh (; abbreviated L; sometimes written lac) is a unit in the Indian numbering system equal to one hundred thousand (100,000; scientific notation: 105). In the Indian 2, 2, 3 convention of digit grouping, it is written as 1,00,000. F ...

, and is written as 1,00,000. The Thai, Lao, Khmer and

Vietnamese Vietnamese may refer to: * Something of, from, or related to Vietnam, a country in Southeast Asia * Vietnamese people, or Kinh people, a Southeast Asian ethnic group native to Vietnam ** Overseas Vietnamese, Vietnamese people living outside Vietna ...

languages also have separate words for this number: , , (all ''saen''), and respectively. The Malagasy word is . In

the Netherlands , Terminology of the Low Countries, informally Holland, is a country in Northwestern Europe, with Caribbean Netherlands, overseas territories in the Caribbean. It is the largest of the four constituent countries of the Kingdom of the Nether ...

, a '

ton Ton is any of several units of measure of mass, volume or force. It has a long history and has acquired several meanings and uses. As a unit of mass, ''ton'' can mean: * the '' long ton'', which is * the ''tonne'', also called the ''metric ...

' is a colloquialism for a denomination of 100.000 monetary units. In the

guilders Guilder is the English translation of the Dutch and German ''gulden'', originally shortened from Middle High German ''guldin pfenninc'' (" gold penny"). This was the term that became current in the southern and western parts of the Holy Rom ...

period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. The usage is mostly limited to the financial sphere and the buying and selling of houses. It is not used in official settings because of the ambiguity with commonly used

metric tonne The tonne ( or ; symbol: t) is a unit of mass equal to 1,000 kilograms. It is a non-SI unit accepted for use with SI. It is also referred to as a metric ton in the United States to distinguish it from the non-metric units of the sh ...

. While usage is common in the Netherlands, it sees almost no use in

Belgium Belgium, officially the Kingdom of Belgium, is a country in Northwestern Europe. Situated in a coastal lowland region known as the Low Countries, it is bordered by the Netherlands to the north, Germany to the east, Luxembourg to the southeas ...

. In

Cyrillic numerals Cyrillic numerals are a numeral system derived from the Cyrillic script, developed in the First Bulgarian Empire in the late 10th century. It was used in the First Bulgarian Empire and by South Slavs, South and East Slavs, East Slavic peoples. ...

, it is known as the legion (): Legion-1000000-Cyrillic

or .

Values of 100,000

astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...

, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the

altitude Altitude is a distance measurement, usually in the vertical or "up" direction, between a reference datum (geodesy), datum and a point or object. The exact definition and reference datum varies according to the context (e.g., aviation, geometr ...

at which the

Fédération Aéronautique Internationale The World Air Sports Federation (; FAI) is the world governing body for air sports, and also stewards definitions regarding human spaceflight. It was founded on 14 October 1905, and is headquartered in Lausanne, Switzerland. It maintains worl ...

(FAI) defines

spaceflight Spaceflight (or space flight) is an application of astronautics to fly objects, usually spacecraft, into or through outer space, either with or without humans on board. Most spaceflight is uncrewed and conducted mainly with spacecraft such ...

to begin. In

paleoclimatology Paleoclimatology ( British spelling, palaeoclimatology) is the scientific study of climates predating the invention of meteorological instruments, when no direct measurement data were available. As instrumental records only span a tiny part of ...

, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation. In the

Irish language Irish (Standard Irish: ), also known as Irish Gaelic or simply Gaelic ( ), is a Celtic language of the Indo-European language family. It is a member of the Goidelic languages of the Insular Celtic sub branch of the family and is indigenous ...

, () is a popular greeting meaning "a hundred thousand welcomes".

Selected 6-digit numbers (100,001–999,999)

100,001 to 199,999

* 100,003 = smallest 6-digit prime number * 100,128 = smallest

triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...

with 6 digits and the 447th triangular number * 100,151 =

twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair or In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin prime' ...

with 100,153 * 100,153 = twin prime with 100,151 * 100,255 =

Friedman number A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, ...

* 100,489 = 317², the smallest 6-digit square * 101,101 = smallest

palindromic A palindrome ( /ˈpæl.ɪn.droʊm/) is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as ''madam'' or '' racecar'', the date " 02/02/2020" and the sentence: "A man, a plan, a canal – Pana ...

Carmichael number In number theory, a Carmichael number is a composite number which in modular arithmetic satisfies the congruence relation: : b^n\equiv b\pmod for all integers . The relation may also be expressed in the form: : b^\equiv 1\pmod for all integers b ...

* 101,723 = smallest

prime number A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...

whose square is a pandigital number containing each digit from 0 to 9 * 102,564 = The smallest

parasitic number In mathematics, an ''n''-parasitic number (in base 10) is a positive natural number which, when multiplied by ''n'', results in movement of the last digit of its decimal representation to its front. Here ''n'' is itself a single-digit positive na ...

* 103,049 = Schröder–Hipparchus number * 103,680 =

highly totient number A highly totient number k is an integer that has more solutions to the equation \phi(x) = k, where \phi is Euler's totient function, than any integer smaller than it. The first few highly totient numbers are 1, 2, 4, 8, 12, 24, 48, 72, 14 ...

* 103,769 = the number of combinatorial types of 5-dimensional

parallelohedra In geometry, a parallelohedron or Fedorov polyhedron is a convex polyhedron that can be translated without rotations to fill Euclidean space, producing a honeycomb in which all copies of the polyhedron meet face-to-face. Evgraf Fedorov identif ...

* 103,823 = 47³, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)³ * 104,480 = number of non-isomorphic set-systems of weight 14. * 104,723 = the 9,999th prime number * 104,729 = the 10,000th prime number * 104,869 = the smallest

containing every non-prime digit * 104,976 = 18⁴, 3-smooth number * 105,071 = number of triangle-free graphs on 11 vertices * 105,558 = number of partitions of 46 * 105,664 =

harmonic divisor number In mathematics, a harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor numbers are : 1, 6, 28, 140, 270, 496, 672, 1638, 2970, 6200, 8128, 8190 . ...

* 108,968 = number of signed trees with 11 nodes * 109,376 =

automorphic number In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself. Definition and properties Given a number base b, a natur ...

* 110,880 = 30th

highly composite number A highly composite number is a positive integer that has more divisors than all smaller positive integers. If ''d''(''n'') denotes the number of divisors of a positive integer ''n'', then a positive integer ''N'' is highly composite if ''d''(' ...

* 111,111 =

repunit In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for "repeated unit" and was coined in 1966 by Albert H. Beiler in his book ''Recr ...

* 111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English * 113,634 =

Motzkin number In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have ...

for ''n'' = 14 * 114,243/80,782 ≈ √2 * 114,689 =

prime factor A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...

of '' F''₁₂ * 115,975 =

Bell number In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of epony ...

* 116,281 = 341²,

square number In mathematics, a square number or perfect square is an integer that is the square (algebra), square of an integer; in other words, it is the multiplication, product of some integer with itself. For example, 9 is a square number, since it equals ...

, centered decagonal number, 18-gonal number * 117,067 = first vampire prime * 117,649 = 7⁶ * 117,800 = harmonic divisor number * 120,032 = number of primitive polynomials of degree 22 over GF(2) * 120,284 =

Keith number In recreational mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a natural number n in a given number base b with k digits such that when a sequence is created such that the first k terms are the k d ...

* 120,960 = highly totient number * 121,393 =

Fibonacci number In mathematics, the Fibonacci sequence is a Integer sequence, sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted . Many w ...

* 123,717 = smallest digitally balanced number in base 7 * 123,867 = number of trees with 18 unlabeled nodes * 124,754 = number of partitions of 47 * 125,673 = logarithmic number * 127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English * 127,912 = Wedderburn–Etherington number * 128,981 = Starts the first

prime gap A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g'n'' or ''g''(''p'n'') is the difference between the (''n'' + 1)-st and the ''n''-th prime numbers, i.e., :g_n = p_ - p_n. ...

sequence of 2, 4, 6, 8, 10, 12, 14 * 129,106 = Keith number * 130,321 = 19⁴ * 131,071 =

Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 1 ...

* 131,072 = 2¹⁷ and largest determinant of a (real) -matrix of order 15. * 131,361 =

Leyland number In number theory, a Leyland number is a number of the form :x^y + y^x where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are : 8, 17, 32, 54, 57, 100, 145, ...

* 134,340 =

Pluto Pluto (minor-planet designation: 134340 Pluto) is a dwarf planet in the Kuiper belt, a ring of Trans-Neptunian object, bodies beyond the orbit of Neptune. It is the ninth-largest and tenth-most-massive known object to directly orbit the Su ...

's minor planet designation * 135,135 =

double factorial In mathematics, the double factorial of a number , denoted by , is the product of all the positive integers up to that have the same Parity (mathematics), parity (odd or even) as . That is, n!! = \prod_^ (n-2k) = n (n-2) (n-4) \cdots. Restated ...

of 13 * 135,137 =

Markov number A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are :1 (number), 1, 2 (number), ...

* 142,129 = 377²,

dodecagonal number In mathematics, a dodecagonal number is a figurate number that represents a dodecagon. The dodecagonal number for ''n'' is given by the formula :D_=5n^2 - 4n The first few dodecagonal numbers are: : 0, 1, 12, 33, 64, 105, 156, 217, 288, ...

* 142,857 =

Kaprekar number In mathematics, a natural number in a given number base is a p-Kaprekar number if the representation of its square in that base can be split into two parts, where the second part has p digits, that add up to the original number. For example, in ...

, smallest

cyclic number A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are :142857 × 1 = 142857 : ...

decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (''decimal fractions'') of th ...

. *

144,000 144,000 is a natural number with significance in Christianity. Religion Christianity Book of Revelation The number 144,000 appears three times in the Book of Revelation: * Revelation 7:3–8: * Revelation 14:1: * Revelation 14:3–5: The n ...

= number with religious significance * 147,273 = number of partitions of 48 * 147,640 = Keith number * 148,149 = Kaprekar number * 152,381 =

unique prime The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. As rational numbers, the reciprocals of primes have repeating decimal representatio ...

base 20 A vigesimal ( ) or base-20 (base-score) numeral system is based on twenty (in the same way in which the decimal numeral system is based on ten). ''Vigesimal'' is derived from the Latin adjective , meaning 'twentieth'. Places In a vigesimal ...

* 156,146 = Keith number * 155,921 = smallest prime number being the only prime in an interval from 100''n'' to 100''n'' + 99 * 160,000 = 20⁴ * 160,176 = number of reduced trees with 26 nodes * 161,051 = 11⁵ * 161,280 = highly totient number * 166,320 = 31st

* 167,400 = harmonic divisor number * 167,894 = number of ways to partition and then partition each cell (block) into subcells. * 173,525 = number of partitions of 49 * 173,600 = harmonic divisor number * 174,680 = Keith number * 174,763 =

Wagstaff prime In number theory, a Wagstaff prime is a prime number of the form : where ''p'' is an odd prime. Wagstaff primes are named after the mathematician Samuel S. Wagstaff Jr.; the prime pages credit François Morain for naming them in a lecture at th ...

* 176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalent * 177,147 = 3¹¹ * 177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English * 178,478 = Leyland number * 181,440 = highly totient number * 181,819 = Kaprekar number * 182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed * 183,186 = Keith number * 183,231 = number of

partially ordered set In mathematics, especially order theory, a partial order on a Set (mathematics), set is an arrangement such that, for certain pairs of elements, one precedes the other. The word ''partial'' is used to indicate that not every pair of elements need ...

with 9 unlabeled elements * 187,110 = Kaprekar number * 189,819 = number of letters in the longest English word, taking 3 hours to pronounce * 194,481 = 21⁴ * 195,025 =

Pell number In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...

, Markov number * 196,418 = Fibonacci number, Markov number * 196,560 = the

kissing number In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere. For a given sphere packing (arrangement o ...

in 24 dimensions * 196,883 = the dimension of the smallest nontrivial irreducible

representation Representation may refer to: Law and politics *Representation (politics), political activities undertaken by elected representatives, as well as other theories ** Representative democracy, type of democracy in which elected officials represent a ...

of the

Monster group In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group; it has order : : = 2463205976112133171923293 ...

* 196,884 = the coefficient of ''q'' in the

Fourier series A Fourier series () is an Series expansion, expansion of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum of sines and cosines, many problems ...

expansion of the

j-invariant In mathematics, Felix Klein's -invariant or function is a modular function of weight zero for the special linear group \operatorname(2,\Z) defined on the upper half-plane of complex numbers. It is the unique such function that is holomorphic a ...

. The adjacency of 196883 and 196884 was important in suggesting

monstrous moonshine In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group ''M'' and modular functions, in particular the ''j'' function. The initial numerical observation was made by John McKay in 1978, ...

. * 199,999 = prime number

200,000 to 299,999

* 202,717 = k such that the sum of the squares of the first k primes is divisible by k. * 206,098 – Large Schröder number * 206,265 = rounded number of

arc seconds A minute of arc, arcminute (abbreviated as arcmin), arc minute, or minute arc, denoted by the symbol , is a unit of angular measurement equal to of a degree. Since one degree is of a turn, or complete rotation, one arcminute is of a tu ...

in a

radian The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. It is defined such that one radian is the angle subtended at ...

(see also

parsec The parsec (symbol: pc) is a unit of length used to measure the large distances to astronomical objects outside the Solar System, approximately equal to or (AU), i.e. . The parsec unit is obtained by the use of parallax and trigonometry, and ...

), since = 206,264.806... * 207,360 = highly totient number * 208,012 = the

Catalan number The Catalan numbers are a sequence of natural numbers that occur in various Enumeration, counting problems, often involving recursion, recursively defined objects. They are named after Eugène Charles Catalan, Eugène Catalan, though they were p ...

''C''₁₂ * 208,335 = the largest number to be both

triangular A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called ''vertices'', are zero-dimensional points while the sides connecting them, also called ''edges'', are one-dimensional ...

and

square pyramidal Square pyramidal geometry describes the shape of certain chemical compounds with the formula where L is a ligand. If the ligand atoms were connected, the resulting shape would be that of a pyramid with a square base. The point group symmetry i ...

* 208,495 = Kaprekar number * 212,159 = smallest unprimeable number ending in 1, 3, 7 or 9 * 221,760 = 32nd

* 222,222 =

repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of "repeated" and "digit". Ex ...

* 224,737 = the 20,000th prime number * 227,475 = Riordan number * 234,256 = 22⁴ * 237,510 = harmonic divisor number * 238,591 = number of free 13-ominoes * 241,920 = highly totient number * 242,060 = harmonic divisor number * 248,832 = 12⁵, 100,000₁₂, AKA a gross-great-gross (100₁₂ great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 12⁵ = 4⁵ + 5⁵ + 6⁵ + 7⁵ + 9⁵ + 11⁵ * 253,293 = number of

prime knots In knot theory, a prime knot or prime link is a knot that is, in a certain sense, indecomposable. Specifically, it is a non-trivial knot which cannot be written as the knot sum of two non-trivial knots. Knots that are not prime are said to be co ...

with 15 crossings * 255,168 = number of ways to play

tic tac toe Tic-tac-toe (American English), noughts and crosses (English in the Commonwealth of Nations, Commonwealth English), or Xs and Os (Canadian English, Canadian or Hiberno-English, Irish English) is a paper-and-pencil game for two players who ta ...

* 262,144 = 2¹⁸;

exponential factorial The exponential factorial is a positive integer ''n'' raised to the power of ''n'' − 1, which in turn is raised to the power of ''n'' − 2, and so on in a right-grouping manner. That is, : n^ The exponential factorial can ...

of 4; a

superperfect number In number theory, a superperfect number is a positive integer that satisfies :\sigma^2(n)=\sigma(\sigma(n))=2n\, , where is the sum-of-divisors function. Superperfect numbers are not a generalization of perfect numbers but have a common gener ...

* 262,468 = Leyland number * 268,705 = Leyland number * 271,129 – smallest known Sierpiński prime * 274,177 = prime factor of the

Fermat number In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a natural number, positive integer of the form:F_ = 2^ + 1, where ''n'' is a non-negative integer. The first few Fermat numbers ...

''F''₆ * 275,807/195,025 ≈ √2 * 276,480 = number of primitive polynomials of degree 24 over GF(2) * 277,200 = 33rd

* 279,841 = 23⁴ * 279,936 = 6⁷ * 280,859 = a

whose

square In geometry, a square is a regular polygon, regular quadrilateral. It has four straight sides of equal length and four equal angles. Squares are special cases of rectangles, which have four equal angles, and of rhombuses, which have four equal si ...

78881777881 is tridigital * 291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers * 293,547 = Wedderburn–Etherington number * 294,001 = smallest

weakly prime A delicate prime, digitally delicate prime, or weakly prime number is a prime number where, under a given radix but generally decimal, replacing any one of its digits with any other digit always results in a composite number. Definition A prime ...

number in base 10 * 294,685 = Markov number * 298,320 = Keith number

300,000 to 399,999

* 310,572 = Motzkin number * 314,159 = pi-prime * 316,749 = number of reduced trees with 27 nodes * 317,811 = Fibonacci number * 317,955 = number of trees with 19 unlabeled nodes * 318,682 = Kaprekar number * 325,878 = Fine number * 326,981 =

alternating factorial In mathematics, an alternating factorial is the absolute value of the alternating sum of the first ''n'' factorials of positive integers. This is the same as their sum, with the odd-indexed factorials multiplied by −1 if ''n'' is even, and t ...

* 329,967 = Kaprekar number * 331,776 = 24⁴ * 332,640 = 34th

; harmonic divisor number * 333,333 = repdigit * 333,667 =

sexy prime In number theory, sexy primes are prime numbers that differ from each other by . For example, the numbers and are a pair of sexy primes, because both are prime and 11 - 5 = 6. The term "sexy prime" is a pun stemming from the Latin word for six ...

and

* 333,673 = sexy prime with 333,679 * 333,679 = sexy prime with 333,673 * 337,500 = 2² × 3³ × 5⁵ * 337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent * 349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed * 351,351 = only known odd

abundant number In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total ...

that is not the sum of some of its proper, nontrivial (i.e. >1) divisors . * 351,352 = Kaprekar number * 355,419 = Keith number * 356,643 = Kaprekar number * 356,960 = number of primitive polynomials of degree 23 over GF(2) * 360,360 = harmonic divisor number; smallest number divisible by the numbers from 1 to 15 (there is no smaller number divisible by the numbers from 1 to 14 since any number divisible by 3 and 5 must be divisible by 15) * 362,880 = 9!, highly totient number * 369,119 = prime number which divides the sum of all primes less than or equal to it * 369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite * 370,261 = first prime followed by a

of over 100 * 371,293 = 13⁵, palindromic in base 12 (15AA51₁₂) * 389,305 =

self-descriptive number In mathematics, a self-descriptive number is an integer ''m'' in a given base ''b'' that is ''b'' digits long, and each digit ''d'' at position ''n'' (the most significant digit being at position 0 and the least significant at position ''b''− ...

in base 7 * 390,313 = Kaprekar number * 390,625 = 5⁸ * 397,585 = Leyland number

400,000 to 499,999

* 409,113 = sum of the first nine

factorial In mathematics, the factorial of a non-negative denoted is the Product (mathematics), product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times ...

s * 422,481 = smallest number whose fourth power is the sum of three smaller fourth powers * 423,393 = Leyland number * 426,389 = Markov number * 426,569 = cyclic number in

base 12 The duodecimal system, also known as base twelve or dozenal, is a positional notation, positional numeral system using 12 (number), twelve as its radix, base. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 1, units; ...

* 437,760 to 440,319 = any of these numbers will cause the

Apple II+ The Apple II Plus (stylized as Apple ] or apple plus) is the second model of the Apple II series of personal computers produced by Apple Inc., Apple Computer. It was sold from June 1979 to December 1982. Approximately 380,000 II Pluses were ...

and

Apple IIe The Apple IIe (styled as Apple //e) is the third model in the Apple II series of personal computers produced by Apple Inc., Apple Computer. It was released in January 1983 as the successor to the Apple II Plus. The ''e'' in the name stands for ...

computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers. Entering ''440000'' at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded. * 444,444 = repdigit * 456,976 = 26⁴ * 461,539 = Kaprekar number * 466,830 = Kaprekar number * 470,832 = Pell number * 483,840 = highly totient number * 492,638 = number of signed trees with 12 nodes * 498,960 = 35th

* 499,393 = Markov number * 499,500 = Kaprekar number

500,000 to 599,999

* 500,500 = Kaprekar number, sum of first 1,000 integers * 509,203 = Riesel number, Riesel prime * 510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive

s—13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double

, the sum of all even numbers from 0 to 1428. * 514,229 = Fibonacci prime, * 518,859 = Schröder–Hipparchus number * 524,287 = Mersenne prime * 524,288 = 2¹⁹ * 524,649 = Leyland number * 525,600 = minutes in a non-leap year * 527,040 = minutes in a leap year * 531,441 = 3¹² * 533,169 = Leyland number * 533,170 = Kaprekar number * 537,824 = 14⁵ * 539,400 = harmonic divisor number * 548,834 = equal to the sum of the sixth powers of its digits * 554,400 = 36th

* 555,555 = repdigit * 586,081 = number of prime numbers having seven digits. * 599,999 = prime number.

600,000 to 699,999

* 604,800 = number of seconds in a week * 614,656 = 28⁴ * 625,992 = Riordan number * 629,933 = number of reduced trees with 28 nodes * 645,120 = double factorial of 14 * 646,018 = Markov number * 649,532 = number of 26-bead necklaces (turning over is allowed) where complements are equivalent * 664,579 = the number of primes under 10,000,000 * 665,280 = 37th

* 665,857/470,832 ≈ √2 * 666,666 = repdigit * 671,092 = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed * 676,157 = Wedderburn–Etherington number * 678,570 = Bell number * 694,280 = Keith number * 695,520 = harmonic divisor number

700,000 to 799,999

* 700,001 = prime number. * 707,281 = 29⁴ * 720,720 = 10th superior highly composite number; 10th colossally abundant number; 38th

, smallest number divisible by the numbers from 1 to 16 * 725,760 = highly totient number * 726,180 = harmonic divisor number * 729,000 = 90³ * 739,397 = largest prime that is both right- and left-truncatable prime, truncatable. * 742,900 = Catalan number * 753,480 = harmonic divisor number * 759,375 = 15⁵ * 762,701 – smallest known composite Riesel number * 765,623 = emirp, Friedman number, Friedman prime 5⁶ × 7² − 6 ÷ 3 * 777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name * 783,700 = initial number of third century ''xx''00 to ''xx''99 (after 400 (number), 400 and 1,400) containing seventeen

s * 799,999 = prime number.

800,000 to 899,999

* 810,000 = 30⁴ * 823,065 = number of trees with 20 unlabeled nodes * 823,543 = 7⁷ * 825,265 = smallest

with 5 prime factors * 832,040 = Fibonacci number * 853,467 = Motzkin number * 857,375 = 95³ * 873,612 = 1¹ + 2² + 3³ + 4⁴ + 5⁵ + 6⁶ + 7⁷ * 888,888 = repdigit * 890,625 =

900,000 to 999,999

* 900,001 = prime number * 901,971 = number of free 14-ominoes * 909,091 =

in base 10 * 923,521 = 31⁴ * 925,765 =

* 925,993 = Keith number * 950,976 =

* 956,619: 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its Square (algebra) , square. * 967,680 =

* 970,299 = 99³, the largest 6-digit cube * 998,001 = 999², the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998. * 998,991 = largest

with 6 digits and the 1413th triangular number * 999,983 = largest 6-digit prime number * 999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in

form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13, and it is the largest number in English not containing the letter 'l' in its name.

Prime numbers

There are 9,592 primes less than 10⁵, where 99,991 is the largest prime number smaller than 100,000. Increments of 10⁵ from 100,000 through a 1,000,000, one million have the following prime counts: *8,392 primes between 100,000 and 200,000. This is a difference of 1200 (number), 1,200 primes from the previous range. **104,729 is the 10,000th prime, which is in this range. **199,999 is prime. *8,013 primes between 200,000 and 300,000. A difference of 379 (number), 379 primes from the previous range. **224,737 is the 20,000th prime. *7,863 primes between 300,000 and 400,000. A difference of 150 (number), 150 primes from the previous range. ** 350,377 is the 30,000th prime. *7,678 primes between 400,000 and 500,000. A difference of 185 (number), 185 primes from the previous range. Here, the difference increases by a count of 35 (number), 35. ** 479,909 is the 40,000th prime. * 7,560 primes between 500,000 and 600,000. A difference of 118 (number), 118 primes from the previous range. **7560 (number), 7,560 is the twentieth highly composite number. **599,999 is prime. *7,445 primes between 600,000 and 700,000. A difference of 115 (number), 115 primes from the previous range. ** 611,953 is the 50,000th prime. *7,408 primes between 700,000 and 800,000. A difference of 37 (number), 37 primes from the previous range. **700,001 and 799,999 are both prime. **746,773 is the 60,000th prime. *7,323 primes between 800,000 and 900,000. A difference of 85 (number), 85 primes from the previous range. Here, the difference increases by a count of 48 (number), 48. ** 882,377 is the 70,000th prime. *7,224 primes between 900,000 and 1,000,000. A difference of 99 (number), 99 primes from the previous range. The difference increases again, by a count of 14 (number), 14. ** 900,001 is prime. In total, there are 68,906 prime numbers between 100,000 and 1,000,000. From the differences of the Sequence, prime indexes of the smallest and largest prime numbers in ranges of increments of 10⁵, plus 1 (for each range).

Notes

References

{{DEFAULTSORT:100000 Integers Powers of ten