Properties of the Number 54096

Fifty-Four Thousand Ninety-Six

Basics

Value: 54095 → 54096 → 54097

Parity: even

Prime: No

Previous Prime: 54091

Next Prime: 54101

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 ² × 23

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101010000

Octal: 151520

Duodecimal: 27380

Hexadecimal: d350

Square: 2926377216

Square Root: 232.5854681617061

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

Triangle read by rows: number of nilpotent partial transformations (of an n-element set) of height r (height(α) = |Im(α)|), 0 <= r < n. A141618

Triangle, read by rows, where the g.f. of row n, R_n(x), is a polynomial of degree n that satisfies: [x^k] R_n+1(x) = [x^k] (1 + x·R_n(x))ⁿ⁺¹ for k=0..n+1, with R₀(x) = 1. A108990

Third diagonal of triangle A108990, in which the g.f. of row n, R_n(x), satisfies: [x^k] R_n+1(x) = [x^k] (1 + x·R_n(x))ⁿ⁺¹ for k=0..n+1. A108994

Expansion of (1/x) * Series_Reversion( x / ((1+x)⁴+x⁴) ). A369126

a(n) = ∑_i=0..n digsum₈(i)⁴, where digsum₈(i) = A053829(i). A231683

a(n) = ∑_i=0..n digsum₉(i)⁴, where digsum₉(i) = A053830(i). A231687

Triangle read by rows, defined by T(n,k) = C(n,k)*S2(n,k), 0 <= k <= n, where C(n,k) are the binomial coefficients and S2(n,k) are the Stirling numbers of the second kind. A90683

Expansion of ∑_k>=1 k³ * x^k/(1 - x^k)³. A366135

Number of horizontal segments in all dispersed Dyck paths of length n (i.e., in all Motzkin paths of length n with no (1,0)-steps at positive heights; a horizontal segment is a maximal sequence of consecutive (1,0)-steps). A191391

Expansion of the series reversion of ∑_n>=1 x^n². A259938