Properties of the Number 63535

Sixty-Three Thousand Five Hundred Thirty-Five

Basics

Value: 63534 → 63535 → 63536

Parity: odd

Prime: No

Previous Prime: 63533

Next Prime: 63541

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 97 × 131

Divisors: 1, 5, 97, 131, 485, 655, 12707, 63535

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111100000101111

Octal: 174057

Duodecimal: 30927

Hexadecimal: f82f

Square: 4036696225

Square Root: 252.06150043193824

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255091

Irregular table: n-th row polynomial given by the formal power series expansion of ∑_{k >= 0} (1 + q)^{n·k + k*(k+1}/2)* ∏_{j = 1..k} (1 - (1 + q)^j), n >= 1. A340880

a(n) = 44·n² - 1. A158628

Composite numbers k such that (k+1)*σ(k) is a perfect square. A73586

Numbers n such that 41#*2ⁿ-1 is prime, where # denotes the primorial, A002110. A176061

Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255087

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 0. A255089

Primes prime(n) such that prime(n+1)² < prime(n)*prime(n+2). A63535

Numbers k at which the ratio r(k) = (k-th prime) / (average of first k primes) reaches a record high. A301599