Properties of the Number 21966

Twenty-One Thousand Nine Hundred Sixty-Six

Basics

Value: 21965 → 21966 → 21967

Parity: even

Prime: No

Previous Prime: 21961

Next Prime: 21977

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 523

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 523, 1046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010111001110

Octal: 52716

Duodecimal: 10866

Hexadecimal: 55ce

Square: 482505156

Square Root: 148.20931144837022

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

Numbers n such that Bernoulli number B_n has denominator 1806. A272139

Numbers n such that p(10n) is prime, where p(n) is the number of partitions of n. A114170

Sum of the divisors of 11ⁿ+1. A366689

T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent. A224588

Expansion of ∑_n>=0 xⁿ * ∑_k=0..n C(n,k)² * x^3·k. A246883

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally. A251292

a(n) = prime(n) * prime(n²) - prime(n³). A291541

Expansion of (1-x⁶) / (1-x)⁶. A8488

a(n) = 8·n³ + n. A118465

a(n) = 686·n + 14. A157366