Properties of the Number 4977

Four Thousand Nine Hundred Seventy-Seven

Basics

Value: 4976 → 4977 → 4978

Parity: odd

Prime: No

Previous Prime: 4973

Next Prime: 4987

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 79

Divisors: 1, 3, 7, 9, 21, 63, 79, 237, 553, 711

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101110001

Octal: 11561

Duodecimal: 2A69

Hexadecimal: 1371

Square: 24770529

Square Root: 70.54785609782908

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n whose weak run-sums cover an initial interval of nonnegative integers. A353863

Number of compositions of n with strictly increasing differences. A325547

Triangle read by rows: T(n,k) = number of k-covers of a labeled n-set, k=1..2ⁿ-1. A55154

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. A254698

T(n,k) is the number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors. A200886

Number of sums S of distinct positive integers satisfying S <= n. A26906

Numbers k such that p=k²+2 and p+2 are primes. A86381

E.g.f.: π/(sqrt(2)*L) * (1 + 2*∑_n>=1 cosh(2*π*n·x/L)/cosh(n*π)) where L = Lemniscate constant. A193543

Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition. A57949

T(n,k)=Number of nXk 0..6 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A203066