Monday, September 12, 2016

Number of the day: 318

Properties of the number 318:

318 = 2 × 3 × 53 is a sphenic number and squarefree.
318 has 3 distinct prime factors, 8 divisors, 9 antidivisors and 104 totatives.
318 has an oblong digit sum 12 in base 10.
Reversing the decimal digits of 318 results in a semiprime.
318 is the difference of 2 positive pentagonal numbers in 2 ways.
318 = 22 + 52 + 172 is the sum of 3 positive squares.
3182 = 1682 + 2702 is the sum of 2 positive squares in 1 way.
3182 is the sum of 3 positive squares.
318 is a divisor of 1072 - 1.
318 is palindromic in (at least) the following bases: 9, and 52.
318 in base 5 = 2233 and consists of only the digits '2' and '3'.
318 in base 7 = 633 and consists of only the digits '3' and '6'.
318 in base 9 = 383 and consists of only the digits '3' and '8'.
318 in base 12 = 226 and consists of only the digits '2' and '6'.
318 in base 17 = 11c and consists of only the digits '1' and 'c'.

The number 318 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000112: Number of partially ordered sets ("posets") with n unlabeled elements.
A005277: Nontotients: even n such that phi(m) = n has no solution.
A006313: Numbers n such that n^16 + 1 is prime.
A007304: Sphenic numbers: products of 3 distinct primes.
A008458: Coordination sequence for hexagonal lattice.
A008588: Nonnegative multiples of 6.
A034296: Number of flat partitions of n: partitions {a_i} with each |a_i-a_{i-1}| <= 1.
A119679: a(n) = least k such that the remainder when 5^k is divided by k is n.
A191426: Dispersion of (3+[nr]), where r=(golden ratio)=(1+sqrt(5))/2 and [ ]=floor, by antidiagonals.
A214899: a(n) = a(n-1) + a(n-2) + a(n-3) with a(0)=2, a(1)=1, a(2)=2.

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