Properties of the Number 21682

Twenty-One Thousand Six Hundred Eighty-Two

Basics

Value: 21681 → 21682 → 21683

Parity: even

Prime: No

Previous Prime: 21673

Next Prime: 21683

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 37 × 293

Divisors: 1, 2, 37, 74, 293, 586, 10841, 21682

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010010110010

Octal: 52262

Duodecimal: 1066A

Hexadecimal: 54b2

Square: 470109124

Square Root: 147.24808997063425

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 integer partitions of n having a unique mode. A362608

Triangle read by rows: T(n,k) is the number of permutations of [n] having k-1 alternating descents (1<=k<=n). The index i is an alternating descent of a permutation p if either i is odd and p(i)>p(i+1), or i is even and p(i)<p(i+1). A145876

Numbers k that divide 4^k + 4. A15889

Even 10-gonal (or decagonal) numbers. A28994

The number of partitions of n in which at least one part is a multiple of 3. A295341

Number of partitions p of n such that median(p) = multiplicity(max(p)). A240209

Number of broken alternating permutations of n things. A302691

Number of permutations of [n] having exactly seven alternating descents. A302900

Number of partitions satisfying cn(1,5) + cn(4,5) < cn(2,5) + cn(3,5). A39892

Number of maximal cliques in the n X n queen graph. A288947