Properties of the Number 57345

Fifty-Seven Thousand Three Hundred Forty-Five

Basics

Value: 57344 → 57345 → 57346

Parity: odd

Prime: No

Previous Prime: 57331

Next Prime: 57347

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 3823

Divisors: 1, 3, 5, 15, 3823, 11469, 19115, 57345

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000000001

Octal: 160001

Duodecimal: 29229

Hexadecimal: e001

Square: 3288449025

Square Root: 239.46816072288192

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 2's in the last section of the set of partitions of n. A182712

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

a(0) = 8; for n>0, a(n) = 2·a(n-1) - 1. A83686

Smallest number > 1 equal to sum of n-th powers of its base-3 digits, or 0 if no such number exists (written in base 10). A33835

Base-3 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-3 digits, for some k. A162216

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

A007318·A131055. A131056

4-step Fibonacci sequence starting with 1,0,1,0. A251656

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 262", based on the 5-celled von Neumann neighborhood. A280415

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood. A280608