Properties of the Number 58401

Fifty-Eight Thousand Four Hundred One

Basics

Value: 58400 → 58401 → 58402

Parity: odd

Prime: No

Previous Prime: 58393

Next Prime: 58403

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 7 × 103

Divisors: 1, 3, 7, 9, 21, 27, 63, 81, 103, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010000100001

Octal: 162041

Duodecimal: 29969

Hexadecimal: e421

Square: 3410676801

Square Root: 241.66298847775593

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

Numbers k which have a factorization k = f1·f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once. A370970

a(n) = n⁵ - n³ + n². A133071

Numbers k which use half of the ten digits such that they have at least one factorization k=p·q that uses remaining half of the digits that are not in k. A195814

a(n) = 2·n⁴ - floor(2^1/4*n)⁴. A257854

Expansion of e.g.f. 1/(1 - x/3 * (exp(3·x) - 1)). A354314

Numbers k which have a factorization k = f₁*f₂*...*f_r where f_i >= 1 and the digits of {k, f₁, f₂, ..., f_r} together give 0,1,...,9 exactly once. A372259

Numbers·such that the sum of all their cyclic permutations is equal to that of all cyclic permutations of σ(x) and all cyclic permutations of Euler totient function φ(x). A247317

Triangle of partial row sums of partition triangle A026820. A58401