Properties of the Number 2997

Two Thousand Nine Hundred Ninety-Seven

Basics

Value: 2996 → 2997 → 2998

Parity: odd

Prime: No

Previous Prime: 2971

Next Prime: 2999

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 37

Divisors: 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110101

Octal: 5665

Duodecimal: 1899

Hexadecimal: bb5

Square: 8982009

Square Root: 54.74486277268398

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

Second 10-gonal (or decagonal) numbers: n*(4·n+3). A33954

Almkvist-Zudilin numbers: ∑_k=0..n (-1)^n-k * ((3^n-3·k * (3·k)!) / (k!)³) * binomial(n,3·k) * binomial(n+k,k). A125143

Triangular array giving number of labeled graphs on n unisolated nodes and k=0...n*(n-1)/2 edges. A54548

Numbers m such that m divides 10^m - 1. A14950

Number of planar partitions of n with all part sizes distinct. A117433

Numbers in base 10 that are palindromic in bases 7 and 8. A99145

Triangular array T(n,k) giving number of connected graphs with n labeled nodes and k edges (n >= 1, 0 <= k <= n(n-1)/2). A62734

a(n) = (n-1)*(2·n+5). A130861

Sum of proper divisors of A228058(n) that are not squarefree; a(n) = -A325314(A228058(n)). A325320

Divisors of 999999999. A27889