Number of the day: 6886

Camille Jordan was born on this day 181 years ago.

Properties of the number 6886:

6886 = 2 × 11 × 313 is a sphenic number and squarefree.
6886 has 3 distinct prime factors, 8 divisors, 7 antidivisors and 3120 totatives.
6886 has a triangular digit sum 28 in base 10.
6886 = 19³ + 3³ is the sum of 2 positive cubes in 1 way.
6886 is the difference of 2 positive pentagonal numbers in 2 ways.
6886 = 1² + 54² + 63² is the sum of 3 positive squares.
6886² = 550² + 6864² is the sum of 2 positive squares in 1 way.
6886² is the sum of 3 positive squares.
6886 is a proper divisor of 1277⁴ - 1.
6886 = '6' + '886' is the concatenation of 2 semiprime numbers.
6886 is a palindrome (in base 10).
6886 is palindromic in (at least) the following bases: 9, 25, 32, 81, -5, -9, -25, and -85.
6886 in base 3 = 100110001 and consists of only the digits '0' and '1'.
6886 consists of only the digits '6' and '8'.
6886 in base 24 = bmm and consists of only the digits 'b' and 'm'.
6886 in base 25 = b0b and consists of only the digits '0' and 'b'.
6886 in base 32 = 6n6 and consists of only the digits '6' and 'n'.
6886 in base 58 = 22g and consists of only the digits '2' and 'g'.

The number 6886 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005064: Sum of cubes of primes dividing n.
A029965: Palindromic in bases 9 and 10.
A072041: a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists.
A086119: Numbers of the form p^3 + q^3, p, q primes.
A099165: Palindromic in bases 10 and 32.
A120398: Sums of two distinct prime cubes.
A179986: Second 9-gonal (or nonagonal) numbers: a(n) = n*(7*n+5)/2.
A220083: a(n) = (15*n^2 + 9*n + 2)/2.
A250410: Palindromic in bases 10 and 25.
A271635: Numbers n such that Bernoulli number B_{n} has denominator 138.