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7744 (number)
7744 is the natural number following 7743 and preceding 7745. In mathematics 7744 is: *the square of 88, and is the smallest nonzero square each of whose decimal digits occur exactly twice. *the sum of two fifth powers: 7744 = 65 + (−2)5. *a Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad numbers ... in bases 5, 9, 10, 12, 14 and 15. *the aliquot sum of both 10316 and 15482. *part of the 29-aliquot tree. The complete aliquot sequence starting at 7716 is: 7716, 10316, 7744, 9147, 3053, 115, 29, 1, 0 References {{DEFAULTSORT:7744 (Number) Integers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2 (number)
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. Evolution Arabic digit The digit used in the modern Western world to represent the number 2 traces its roots back to the Indic Brahmic script, where "2" was written as two horizontal lines. The modern Chinese and Japanese languages (and Korean Hanja) still use this method. The Gupta script rotated the two lines 45 degrees, making them diagonal. The top line was sometimes also shortened and had its bottom end curve towards the center of the bottom line. In the Nagari script, the top line was written more like a curve connecting to the bottom line. In the Arabic Ghubar writing, the bottom line was completely vertical, and the digit looked like a dotless closing question mark. Restoring the bottom line to its original horizonta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
242 (number)
242 (two hundred ndforty-two) is the natural number following 241 and preceding 243. In mathematics 242 is the smallest integer to start a run of four consecutive integers with the same number of divisors. 242 is a nontotient since there is no integer with 242 coprimes below it. 242 is a palindrome. 242 is the number of parallelogram polyominoes with 8 cells. In other fields 242 is also: * part of the name of a Belgian electronic body music group called Front 242 * the number of a notable UN Security Council resolution pertaining to the Arab/Israeli conflict, United Nations Security Council Resolution 242 * Area code 242 is the area code of The Bahamas located in the North West Atlantic Ocean. * Volvo 242 (2xx-series, 4-cylinder, 2-door) Produced from 1974 to 1984. * Fiat 242, a van produced by Fiat * the total number oPower Starsa player can collect in ''Super Mario Galaxy'' and ''Super Mario Galaxy 2'' for the Wii. * the orbit, in days, of Kepler-69c, a planet 70 per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harshad Number
In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "harshad" comes from the Sanskrit ' (joy) + ' (give), meaning joy-giver. The term "Niven number" arose from a paper delivered by Ivan M. Niven at a conference on number theory in 1977. Definition Stated mathematically, let be a positive integer with digits when written in base , and let the digits be a_i (i = 0, 1, \ldots, m-1). (It follows that a_i must be either zero or a positive integer up to .) can be expressed as :X=\sum_^ a_i n^i. is a harshad number in base if: :X \equiv 0 \bmod . A number which is a harshad number in every number base is called an all-harshad number, or an all-Niven number. There are only four all-harshad numbers: 1, 2, 4, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 and can be written as . The usual notation for the square of a number is not the product , but the equivalent exponentiation , usually pronounced as " squared". The name ''square'' number comes from the name of the shape. The unit of area is defined as the area of a unit square (). Hence, a square with side length has area . If a square number is represented by ''n'' points, the points can be arranged in rows as a square each side of which has the same number of points as the square root of ''n''; thus, square numbers are a type of figurate numbers (other examples being Cube (algebra), cube numbers and triangular numbers). Square numbers are non-negative. A non-negative integer is a square number when its square root is again an intege ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal number, cardinal numbers'', and numbers used for ordering are called ''Ordinal number, ordinal numbers''. Natural numbers are sometimes used as labels, known as ''nominal numbers'', having none of the properties of numbers in a mathematical sense (e.g. sports Number (sports), jersey numbers). Some definitions, including the standard ISO/IEC 80000, ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with , corresponding to the positive integers Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, while in other writings, that term is used instead for the integers (including negative integers). The natural ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
3872 (number)
__NOTOC__ Year 387 ( CCCLXXXVII) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Augustus and Eutropius (or, less frequently, year 1140 ''Ab urbe condita''). The denomination 387 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Spring – Emperor Theodosius I increases the taxes in Antioch. A peasant uprising leads to a riot, and public buildings are set afire. Theodosius sends imperial troops to quell the disturbance, and closes the public baths and theatres. * Magnus Maximus, usurping emperor of the West, invades Italy. Emperor Valentinian II, age 16, is forced out of Rome. He flees with his mother Justina and sisters to Thessaloniki ( Thrace). * Winter – The widowed emperor Theodosius I takes Valentinian ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1936 (number)
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000. A group of one thousand things is sometimes known, from Ancient Greek, as a chiliad. A period of one thousand years may be known as a chiliad or, more often from Latin, as a millennium. The number 1000 is also sometimes described as a short thousand in medieval contexts where it is necessary to distinguish the Germanic concept of 1200 as a long thousand. Notation * The decimal representation for one thousand is ** 1000—a one followed by three zeros, in the general notation ; ** 1 × 103—in engineering notation, which for this number coincides with : ** 1 × 103 exactly—in scientific normalized exponential notation ; ** 1 E+3 exactly—in scientific E notation. * The SI prefix for a thousand units is " kilo-", abbreviated to "k"—for instance, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
968 (number)
900 (nine hundred) is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number. In other fields 900 is also: * A telephone area code for "premium" phone calls in the North American Numbering Plan * In Greek number symbols, the sign Sampi ("ϡ", literally "like a pi") * A skateboarding trick in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900) * A 900 series refers to three consecutive perfect games in bowling * Yoda's age in Star Wars Integers from 901 to 999 900s * 901 = 17 × 53, centered triangular number, happy number * 902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number * 903 = 3 × 7 × 43, sphenic number, triangular number, Schröder–Hipparchus number, Mertens function (903) returns 0, little Schroeder number * 904 = 23 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
704 (number)
700 (seven hundred) is the natural number following 699 and preceding 701. It is the sum of four consecutive primes (167 + 173 + 179 + 181), the perimeter of a Pythagorean triangle (75 + 308 + 317) and a Harshad number. Integers from 701 to 799 Nearly all of the palindromic integers between 700 and 800 are used as model numbers for Boeing Commercial Airplanes, and the only one not officially used by Boeing, 797, is commonly speculated to be the number of the next new Boeing commercial airplane. 700s * 701 = prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part * 702 = 2 × 33 × 13, pronic number, nontotient, Harshad number * 703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number, area code for Northern Virginia along with 571, a number commonly found in the formula for body mass index * 704 = 26 × 11, Harshad number, lazy cater ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
