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For example, 3 is a divisor of 21, since 21/7 = 3 (and therefore 7 is also a divisor of 21). If m is a divisor of n , then so is − m . The tables below only list positive divisors.
The result must be divisible by 3. Using the example above: 16,499,205,854,376 has four of the digits 1, 4 and 7 and four of the digits 2, 5 and 8; since 4 − 4 = 0 is a multiple of 3, the number 16,499,205,854,376 is divisible by 3. Subtracting 2 times the last digit from the rest gives a multiple of 3. (Works because 21 is divisible by 3)
An even number is an integer that is "evenly divisible" by two, that is divisible by two without remainder; an odd number is an integer that is not even. (The old-fashioned term "evenly divisible" is now almost always shortened to "divisible".) Any odd number n may be constructed by the formula n = 2k + 1, for a suitable integer k.
the hyperfactorial of 3 since it is of the form . divisible by the value of its φ function, which is 36. divisible by the total number of its divisors (12), hence it is a refactorable number. the angle in degrees of the interior angles of a regular pentagon in Euclidean space.
102 is the first three-digit base 10 polydivisible number, since 1 is divisible by 1, 10 is divisible by 2 and 102 is divisible by 3. This also shows that 102 is a Harshad number. 102 is the first 3-digit number divisible by the numbers 3, 6, 17, 34 and 51. 102 64 + 1 is a prime number. There are 102 vertices in the Biggs–Smith graph.
A natural number is divisible by three if the sum of its digits in base 10 is divisible by 3. For example, the number 21 is divisible by three (3 times 7) and the sum of its digits is 2 + 1 = 3. Because of this, the reverse of any number that is divisible by three (or indeed, any permutation of its digits) is also divisible by three. For ...
Numbers of the form 3 × 2 n − 1 are known as Thabit numbers. In order for Ibn Qurrah's formula to produce an amicable pair, two consecutive Thabit numbers must be prime; this severely restricts the possible values of n. To establish the theorem, Thâbit ibn Qurra proved nine lemmas divided into two groups.
2 4 ⋅ 3 2 ⋅ 5 ⋅ 7 ⋅ 11 ⋅ 13 : 4,2,1,1,1,1 240 2 2 ⋅ 6 ⋅ 30030 : Plot of the number of divisors of integers from 1 to 1000. Highly composite numbers are ...