Properties of the Number 52865

Fifty-Two Thousand Eight Hundred Sixty-Five

Basics

Value: 52864 → 52865 → 52866

Parity: odd

Prime: No

Previous Prime: 52861

Next Prime: 52879

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 97 × 109

Divisors: 1, 5, 97, 109, 485, 545, 10573, 52865

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010000001

Octal: 147201

Duodecimal: 26715

Hexadecimal: ce81

Square: 2794708225

Square Root: 229.92390045404153

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(1) = least k such that 1/1+1/2+1/3+1/4+1/5 < H(k) - H(5); a(2) = least k such that H(a(1)) - H(5) < H(k) -H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number. A228016

Indices k of hex numbers H(k) that are also triangular. A87125

a(n) is the smallest number m such that τ(m - 1) = τ(m + 1) = τ(m) + n or 0 if no such m exists, where τ(k) = A000005(k). A350934

E.g.f.: log(-1/(-1+x))² / (-1 + log(-1/(-1+x)))². A52865