Properties of the Number 5976

Five Thousand Nine Hundred Seventy-Six

Basics

Value: 5975 → 5976 → 5977

Parity: even

Prime: No

Previous Prime: 5953

Next Prime: 5981

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 83

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011101011000

Octal: 13530

Duodecimal: 3560

Hexadecimal: 1758

Square: 35712576

Square Root: 77.30459236035075

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

Generalized 22-gonal (or icosidigonal) numbers: m*(10·m - 9) with m = 0, +1, -1, +2, -2, +3, -3, ... A303299

G.f. A(x) satisfies ∑_n=-oo..+oo (xⁿ - A(x))ⁿ = ∑_n>=0 x^n². A370031

Eight rooks and one berserker on a 3 X 3 chessboard. G.f.: (1 + x - 2·x²)/(1 - 3·x - 6·x²). A180141

Numbers k such that 2k-1 divides 2^k-1. A81856

Expansion of (ψ(x³) / ψ(x))² in powers of·where ψ() is a Ramanujan θ function. A217786

Generalized class numbers c_n,1. A233

Schoenheim bound L₁(n,4,3). A36831

Expansion of e.g.f. ∑_k>=1 prime(k)*(exp(x) - 1)^k/k!. A307771

Number T(n,k) of binary search trees of height k having n internal nodes; triangle T(n,k), n>=0, max(0,floor(log₂(n))+1)<=k<=n, read by rows. A335919

Number T(n,k) of binary search trees of height k having n internal nodes; triangle T(n,k), k>=0, k<=n<=2^k-1, read by columns. A335920