Properties of the Number 21889

Twenty-One Thousand Eight Hundred Eighty-Nine

Basics

Value: 21888 → 21889 → 21890

Parity: odd

Prime: No

Previous Prime: 21881

Next Prime: 21893

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 53 × 59

Divisors: 1, 7, 53, 59, 371, 413, 3127, 21889

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110000001

Octal: 52601

Duodecimal: 10801

Hexadecimal: 5581

Square: 479128321

Square Root: 147.94931564559533

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 representations of n as a sum of products of pairs of positive integers, considered to be equivalent when terms or factors are reordered. A182269

T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s. A295847

Expansion of (1+x+x²) / ((1-x)*(1-x-x²)). A154691

a(n) = 38·n² + 1. A158593

a(n) = 15·n² + 6·n + 1. A80861

exp(arcsinh(x)*exp(x))=1+x+3/2!*x²+9/3!*x³+33/4!*x⁴+145/5!*x⁵... A12584

G.f.: x*(1+x+x²)*(1+6·x+8·x²+4·x³-x⁴)/((1+x)²*(1-x)⁴). A147691

Numbers n such that 2·n + {3, 5, 9, 11} are all primes. A222960

Numbers k such that k!4 + 2⁴ is prime, where k!4 = k!!!! is the quadruple factorial number (A007662). A291344

Number of n X 2 0..1 arrays with each 1 adjacent to 1 or 2 king-move neighboring 1s. A295841