Properties of the Number 58278

Fifty-Eight Thousand Two Hundred Seventy-Eight

Basics

Value: 58277 → 58278 → 58279

Parity: even

Prime: No

Previous Prime: 58271

Next Prime: 58309

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 11 × 883

Divisors: 1, 2, 3, 6, 11, 22, 33, 66, 883, 1766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001110100110

Octal: 161646

Duodecimal: 29886

Hexadecimal: e3a6

Square: 3396325284

Square Root: 241.40836770915791

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

Subdiagonal partitions: number of partitions (p1, p2, p3, ...) of n with π <= i. A238875

Form array in which n-th row is obtained by expanding (1+x+x²)ⁿ and taking the 2nd column from the center. A14531

a(n) = [xⁿ] ∏_k=0..n 1/(1 - k·x)³. A383862

Triangle read by rows: T(n,k) is the number of ternary words of length n on {0,1,2} having k drops (n>=0, k>=0). The drops of a ternary word on {0,1,2} are the subwords 10,20 and 21. A120906

The Wiener index of the nanostar dendrimer defined pictorially as NS₃ in the Ashrafi et al. references. A227496

G.f.: ∏_n>=1 (1 - 2·xⁿ)³. A322216

Irregular triangle read by rows: T(n,m) = number of lattice paths of type {A^H}_R terminating at point (n, m). A291080

Expansion of (1 - x²)/(1 - x - x³). A58278