Properties of the Number 51301

Fifty-One Thousand Three Hundred One

Basics

Value: 51300 → 51301 → 51302

Parity: odd

Prime: No

Previous Prime: 51287

Next Prime: 51307

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 29 ² × 61

Divisors: 1, 29, 61, 841, 1769, 51301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100001100101

Octal: 144145

Duodecimal: 25831

Hexadecimal: c865

Square: 2631792601

Square Root: 226.497240601293

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

a(n) = n⁴ + 3·n² + 1. A57721

a(n) = 15·a(n-1) + a(n-2) with a(0) = 0, a(1) = 1. A154597

Denominators of continued fraction convergents to sqrt(229). A41427

Hyperperfect numbers: x such that x = 1 + k*(σ(x)-x-1) for some k > 0. A34897

Hyperperfect numbers: k = m*(σ(k) - k - 1) + 1 for some m > 1. A7592

First differences of Chebyshev polynomials S(n,227) = A098245(n) with Diophantine property. A98247

Palindromic in bases 6 and 15. A249155

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244069

Denominators of continued fraction convergents to sqrt(916). A42771

Numbers generated by the Fibonacci polynomial x⁴ + 3x² + 1. A85151