Properties of the Number 57302

Fifty-Seven Thousand Three Hundred Two

Basics

Value: 57301 → 57302 → 57303

Parity: even

Prime: No

Previous Prime: 57301

Next Prime: 57329

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 7 × 4093

Divisors: 1, 2, 7, 14, 4093, 8186, 28651, 57302

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111010110

Octal: 157726

Duodecimal: 291B2

Hexadecimal: dfd6

Square: 3283519204

Square Root: 239.37836159519514

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 partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... . A52335

∑_k<=n (σ(k)²), where σ(k) denotes the sum of the divisors of k A000203. A72379

a(0) = 1, a(1) = 2; for n>1, a(n) = a(n-1) + a(n-2) + floor(n/2). A281362

Number of Carlitz compositions of n with exactly one descent. A241691

Number of 3 X 3 X 3 triangular 0..n arrays with every horizontal row nondecreasing and having the same average value. A214907

Number of 5 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224041

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺¹)ⁿ⁺¹ for n>=0. A302703

a(n) = a(n-2) + a(n-1) + floor(n/2) + 1 for n > 1 and a(0)=0, a(1)=1. A215005

Numbers n such that n | 5ⁿ + 4ⁿ + 1. A57302