Properties of the Number 54430

Fifty-Four Thousand Four Hundred Thirty

Basics

Value: 54429 → 54430 → 54431

Parity: even

Prime: No

Previous Prime: 54421

Next Prime: 54437

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 5443

Divisors: 1, 2, 5, 10, 5443, 10886, 27215, 54430

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010011110

Octal: 152236

Duodecimal: 275BA

Hexadecimal: d49e

Square: 2962624900

Square Root: 233.30237889914454

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

G.f. A(x) satisfies A(x/A(x)²) = 1 + x ; thus A(x) = 1 + Series_Reversion(x/A(x)²). A120970

a(n) = (binomial(2n, n) - 2) mod n³. A246133

Expansion of ∏_k>=1 (1 - x^k)^σ(k). A288385

Matrix inverse of triangle A117334. A117335

Triangle T(n,k), n>=0, 0<=k<=C(n,2), read by rows: T(n,k) = number of k-length chains in the poset of Dyck paths of semilength n ordered by inclusion. A193629

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A120971. A381602

Number of palindromes (in base 6) below 6ⁿ. A117865

Simple self-inverse permutation of natural numbers: List each clump of φ(n) numbers (starting from φ(2) = 1) in reverse order. A54430

G.f. satisfies: A(x,y) = 1-x + y·x + Series_Reversion( x/A(x,y)² ). A257813