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Smith Number
In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-free, the factorization is written without exponents, writing the repeated factor as many times as needed. Smith numbers were named by Albert Wilansky of Lehigh University, as he noticed the property in the phone number (493-7775) of his brother-in-law Harold Smith: : 4937775 = 31 52 658371 while : 4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 · 1 + 5 · 2 + (6 + 5 + 8 + 3 + 7) · 1 = 42 in base 10.Sándor & Crstici (2004) p.383 Mathematical definition Let n be a natural number. For base b > 1, let the function F_(n) be the digit sum of n in base b. A natural number n has the integer factorisation : n = \prod_ p^ and is a Smith number if : F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brother-in-law
A sibling-in-law is the spouse of one's sibling, or the sibling of one's spouse, or the person who is married to the sibling of one's spouse.Cambridge Dictionaries Online.Family: non-blood relations. More commonly, a sibling-in-law is referred to as a brother-in-law for a male sibling-in-law, and a sister-in-law for a female one. Sibling-in-law also refers to the reciprocal relationship between a person's spouse and their sibling's spouse. In Indian English this can be referred to as a co-sibling (specifically a co-sister, for the wife of one's sibling-in-law, or co-brother, for the husband of one's sibling-in-law). Relationships Siblings-in-law are related by a type of kinship called '' affinity'' like all in-law relationships. All of these are relations which do not relate to the person directly by blood. Just like the children of one's siblings, the children of one's siblings-in-law are called simply ''nieces'' and ''nephews'' – if necessary, specified whether "by mar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square-free Integer
In mathematics, a square-free integer (or squarefree integer) is an integer which is divisible by no square number other than 1. That is, its prime factorization has exactly one factor for each prime that appears in it. For example, is square-free, but is not, because 18 is divisible by . The smallest positive square-free numbers are Square-free factorization Every positive integer n can be factored in a unique way as n=\prod_^k q_i^i, where the q_i different from one are square-free integers that are pairwise coprime. This is called the ''square-free factorization'' of . To construct the square-free factorization, let n=\prod_^h p_j^ be the prime factorization of n, where the p_j are distinct prime numbers. Then the factors of the square-free factorization are defined as q_i=\prod_p_j. An integer is square-free if and only if q_i=1 for all i > 1. An integer greater than one is the kth power of another integer if and only if k is a divisor of all i such that q_i\neq 1. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
391 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
382 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
378 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
355 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spartan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
346 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
319 (number)
300 (three hundred) is the natural number following 299 and preceding 301. Mathematical properties The number 300 is a triangular number and the sum of a pair of twin primes (149 + 151), as well as the sum of ten consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47). It is palindromic in 3 consecutive bases: 30010 = 6067 = 4548 = 3639, and also in base 13. Factorization is 30064 + 1 is prime Other fields Three hundred is: * In bowling, a perfect score, achieved by rolling strikes in all ten frames (a total of twelve strikes) * The lowest possible Fair Isaac credit score * Three hundred ft/s is the maximum legal speed of a shot paintball * In the Hebrew Bible, the size of the military force deployed by the Israelite judge Gideon against the Midianites () * According to Islamic tradition, 300 is the number of ancient Israeli king Thalut's soldiers victorious against Goliath's soldiers * According to Herodotus, 300 is the number of ancient Spar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
274 (number)
270 (two hundred ndseventy) is the natural number following 269 and preceding 271. In mathematics *270 is a harmonic divisor number *270 is the fourth number that is divisible by its average integer divisor *270 is a practical number, by the second definition *The sum of the coprime counts for the first 29 integers is 270 *270 is a sparsely totient number, the largest integer with 72 as its totient *Given 6 elements, there are 270 square permutations *10! has 270 divisors *270 is a Harshad number in base 10 *270 is the smallest positive integer that has divisors ending by digits 1, 2, ..., 9. *270 is the smallest sum of a set of even numbers that contain every digit once. In other fields *The year 270 BC *The year 270 AD *The caliber of the .270 Winchester rifle *The number of U.S. Electoral College votes needed to be elected President of the United States *The average number of days in human pregnancy Integers from 271 to 279 271 272 272 = 24·17, sum of four consecut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
265 (number)
260 (two hundred ndsixty) is the natural number following 259 and preceding 261. It is also the magic constant of the ''n''×''n'' normal magic square and ''n''-queens problem for ''n'' = 8, the size of an actual chess board. 260 is also the magic constant of the Franklin magic square devised by Benjamin Franklin. The minor diagonal gives 260, and in addition a number of combinations of two half diagonals of four numbers from a corner to the center give 260. There are 260 days in the Mayan sacred calendar Tzolkin. 260 may also refer to the years AD 260 and 260 BC. Integers from 261 to 269 261 261 = 32·29, lucky number, nonagonal number, unique period in base 2, number of possible unfolded tesseract patterns. 262 262 = 2·131, meandric number, open meandric number, untouchable number, happy number, palindrome number, semiprime, current first uninteresting number (by Alex Bellos's definition). 263 263 is a prime, safe prime, ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
202 (number)
202 (two hundred ndtwo) is the natural number following 201 and preceding 203. In mathematics 202 is a Smith number, meaning that its digit sum and the sum of digits of its prime factors are equal. It is also a strobogrammatic number, meaning that when shown on a seven-segment display, turning the display upside-down shows the same number. There are exactly 202 partitions of 32 (a power of two) into smaller powers of two. There are also 202 distinct (non-congruent) polygons that can be formed by connecting all eight vertices of a regular octagon into a cycle, and 202 distinct (non-isomorphic) directed graphs on four unlabeled vertices, not having any isolated vertices. See also * Area code 202, the area code assigned to Washington D.C. * HTTP status code 202 meaning the request was accepted but has not yet been fulfilled * List of highways numbered 202 * The Peugeot 202 automobile * Potassium sorbate Potassium sorbate is the potassium salt of sorbic acid, chemical ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
166 (number)
166 (one hundred ndsixty-six) is the natural number following 165 and preceding 167. In mathematics 166 is an even number and a composite number. It is a centered triangular number. Given 166, the Mertens function returns 0. 166 is a Smith number in base 10. In astronomy * 166 Rhodope is a dark main belt asteroid, in the Adeona family of asteroids * 166P/NEAT is a periodic comet and centaur in the outer Solar System * HD 166 is the 6th magnitude star in the constellation Andromeda In the military * 166th Signal Photo Company was the official photo unit in the 89th Division of George Patton's Third Army in World War II * Convoy ON-166 was the 166th of the numbered ON series of merchant ship convoys outbound from the British Isles to North America departing February 11, 1943 * Marine Medium Helicopter Squadron 166 is a United States Marine Corps helicopter * was a United States Coast Guard cutter during World War II * was a United States Navy yacht. She was the first ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
