Number of the day: 4977

Properties of the number 4977:

4977 = 3² × 7 × 79 is the 4310^th composite number and is not squarefree.
4977 has 3 distinct prime factors, 12 divisors, 19 antidivisors and 2808 totatives.
4977 = 17³ + 4³ is the sum of 2 positive cubes in 1 way.
4977 = 25³ - 22³ is the difference of 2 positive cubes in 1 way.
4977 = 2489² - 2488² = 831² - 828² = 359² - 352² = 281² - 272² = 129² - 108² = 71² - 8² is the difference of 2 nonnegative squares in 6 ways.
4977 is the difference of 2 positive pentagonal numbers in 1 way.
4977 = 8² + 17² + 68² is the sum of 3 positive squares.
4977² is the sum of 3 positive squares.
4977 is a proper divisor of 631² - 1.
4977 = '49' + '77' is the concatenation of 2 semiprime numbers.
4977 is palindromic in (at least) the following bases: 4, 23, 78, and -24.
4977 in base 23 = 999 and consists of only the digit '9'.
4977 in base 31 = 55h and consists of only the digits '5' and 'h'.

The number 4977 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A026906: Number of sums S of distinct positive integers satisfying S <= n.
A055154: Triangle read by rows: T(n,k) = number of k-covers of a labeled n-set, k=1..2^n-1.
A057949: Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.
A086381: Numbers n such that p=n^2+2 and p+2 are primes.
A122794: Connell (3,2)-sum sequence (partial sums of the (3,2)-Connell sequence).
A193543: E.g.f.: Pi/(sqrt(2)*L) * (1 + 2*Sum_{n>=1} cosh(2*Pi*n*x/L)/cosh(n*Pi)) where L = Lemniscate constant.
A200886: T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors
A203066: T(n,k)=Number of nXk 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor
A254698: T(n,k)=Number of length n+4 0..k arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms
A325547: Number of compositions of n with strictly increasing differences.