Properties of the Number 54351

Fifty-Four Thousand Three Hundred Fifty-One

Basics

Value: 54350 → 54351 → 54352

Parity: odd

Prime: No

Previous Prime: 54347

Next Prime: 54361

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 11 × 61

Divisors: 1, 3, 9, 11, 27, 33, 61, 81, 99, 183

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010001001111

Octal: 152117

Duodecimal: 27553

Hexadecimal: d44f

Square: 2954031201

Square Root: 233.13300924579514

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 permutations on n letters without double falls and without initial falls. A80635

Forests of k increasing plane unary-binary trees on n nodes. Generalized Stirling numbers of the second kind associated with A185415. A185422

Square array, read by antidiagonals, used to recursively calculate A080635. A185416

Ordered forests of k increasing plane unary-binary trees with n nodes. A185423

a(n) = n*(2·n² + 1)*(n² + 1)/6. A52459

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k double descents and initial descents (n>=0; 0<=k<=max(0,n-1)) [we say that i is a doubledescent of a permutation p if p(i) > p(i+1) > p(i+2); we say that a permutation p has an initial descent if p(1) > p(2)]. A162976

Coefficient of·in the reduction by (x²->x+1) of the polynomial p(n,x) given in Comments. A192877

Numbers n such that n and n+1 both have 20 divisors. A274361

A Chebyshev transform of the Padovan numbers. A100049

Sum of largest emergent parts of the partitions of n. A330242