Number of the day: 6957

Properties of the number 6957:

6957 = 3² × 773 is the 6064^th composite number and is not squarefree.
6957 has 2 distinct prime factors, 6 divisors, 15 antidivisors and 4632 totatives.
6957 = 5³ + 10³ + 18³ is the sum of 3 positive cubes in 1 way.
6957 = 3479² - 3478² = 1161² - 1158² = 391² - 382² is the difference of 2 nonnegative squares in 3 ways.
6957 is the sum of 2 positive triangular numbers.
6957 is the difference of 2 positive pentagonal numbers in 1 way.
6957 = 51² + 66² is the sum of 2 positive squares in 1 way.
6957 = 8² + 13² + 82² is the sum of 3 positive squares.
6957² = 1755² + 6732² is the sum of 2 positive squares in 1 way.
6957² is the sum of 3 positive squares.
6957 is a proper divisor of 317¹² - 1.
6957 = '69' + '57' is the concatenation of 2 semiprime numbers.
6957 is palindromic in (at least) the following bases: 20, 74, -57, -65, and -94.
6957 in base 11 = 5255 and consists of only the digits '2' and '5'.
6957 in base 13 = 3222 and consists of only the digits '2' and '3'.
6957 in base 20 = h7h and consists of only the digits '7' and 'h'.
6957 in base 31 = 77d and consists of only the digits '7' and 'd'.

The number 6957 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A024846: a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.
A038825: Number of primes between n*100000 and (n+1)*100000.
A042678: Numerators of continued fraction convergents to sqrt(869).
A101366: Perfect Abs: Imaginary part of complex z such that Abs[(Total[Divisors[z]]-z)]=Abs[z].
A112040: Terms in A112039 that are divisible by 3, divided by 3.
A138691: Numbers of the form 68+p^2 (where p is a prime).
A145066: Partial sums of A002522, starting at n=1.
A236970: The number of partitions of n into at least 3 parts from which we can form every partition of n into 3 parts by summing elements
A248860: Number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 483", based on the 5-celled von Neumann neighborhood.
A290003: G.f.: A(x) = Sum_{n=-oo..+oo} (x - x^n)^n.