Properties of the Number 61535

Sixty-One Thousand Five Hundred Thirty-Five

Basics

Value: 61534 → 61535 → 61536

Parity: odd

Prime: No

Previous Prime: 61519

Next Prime: 61543

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 31 × 397

Divisors: 1, 5, 31, 155, 397, 1985, 12307, 61535

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000001011111

Octal: 170137

Duodecimal: 2B73B

Hexadecimal: f05f

Square: 3786556225

Square Root: 248.0624921264801

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

Sum of consecutive nonsquares. A48395

Number of partitions of n such that the (sum of distinct odd parts) <= n/2. A284613

a(n) = 961·n² + 31. A158675

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16. A31694

Smallest k such that k·n⁴ + 1 is an n-th power. A216471

Squarefree integers k such that x⁴ - k·y² = 1 has a nontrivial solution. A356496

Exceptional values of n arising in search for solutions to x⁴ - n·y⁴ = 1. A213097

a(n) = a(n-1) + the number of primes <= a(n-1). A61535

n⁴ - 1 divided by its largest fourth power divisor. A128251