Properties of the Number 21514

Twenty-One Thousand Five Hundred Fourteen

Basics

Value: 21513 → 21514 → 21515

Parity: even

Prime: No

Previous Prime: 21503

Next Prime: 21517

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 31 × 347

Divisors: 1, 2, 31, 62, 347, 694, 10757, 21514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101010000001010

Octal: 52012

Duodecimal: 1054A

Hexadecimal: 540a

Square: 462852196

Square Root: 146.67651482088058

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

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = n⁴*s, where s is the population variance of the values of u²+v². A345691

Number T(n,k) of permutations p of [n] having at least one index i with |p(i)-i| = k; triangle T(n,k), n>=1, 0<=k<=n-1, read by rows. A306506

Number T(n,k) of occurrences of k in a (signed) displacement set of a permutation of [n]; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows. A306461

Triangle T, read by rows, formed by a column bisection of triangle A117418: column k of T equals column 2·k of A117418. A117425

Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (maximal part of p). A240311

Denominators of continued fraction convergents to sqrt(664). A42277

Triangle: a(n,m) = number of permutations of (1,2,...,n) with one or more fixed points in the m first positions. A61018

Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^-6. A114358

Expansion of ∑_k>=0 (-2)^k * x^2·k/∏_j=1..k (1 - j·x). A353261

Number of 5-element subsets of [n] whose sum is a triangular number. A320851