Properties of the Number 2976

Two Thousand Nine Hundred Seventy-Six

Basics

Value: 2975 → 2976 → 2977

Parity: even

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 31

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 31

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110100000

Octal: 5640

Duodecimal: 1880

Hexadecimal: ba0

Square: 8856576

Square Root: 54.55272678794342

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

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Generalized 12-gonal numbers: k*(5·k-4) for k = 0, +-1, +-2, ... A195162

6 times triangular numbers: a(n) = 3·n*(n+1). A28896

Generalized 24-gonal (or icositetragonal) numbers: m*(11·m - 10) with m = 0, +1, -1, +2, -2, +3, -3, ... A303814

Number of partitions of n such that every part divides the largest part; a(0) = 1. A130689

Binomial transform of τ(n) (see A000005). A101509

Triangle read by rows: T(n,k) = number of vertices in a "frame" of size n X k (see Comments in A331457 for definition). A332599

Number of 2n-step 2-dimensional closed self-avoiding paths on square lattice. A10566

Number of compositions of n whose run-lengths are unimodal. A332726

Square array A(row,col) read by antidiagonals: A(1,col) = A256450(col-1), and for row > 1, A(row,col) = A255411(A(row-1,col)); Dispersion of factorial base shift A255411 (array transposed). A257503