Properties of the Number 61637

Sixty-One Thousand Six Hundred Thirty-Seven

Basics

Value: 61636 → 61637 → 61638

Parity: odd

Prime: Yes

Previous Prime: 61631

Next Prime: 61643

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 61637

Divisors: 1, 61637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000011000101

Octal: 170305

Duodecimal: 2B805

Hexadecimal: f0c5

Square: 3799119769

Square Root: 248.26800035445567

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) = -2·a(n-1) + a(n-2) + a(n-3) with a(0)=a(1)=-1, a(2)=1. A215112

Primes p = x² + y² such that x + y is a cube. A282381

Primes p = prime(k) such that prime(k) + prime(k+7) = prime(k+1) + prime(k+6) = prime(k+2) + prime(k+5) = prime(k+3) + prime(k+4). A64102

Numbers k such that k and k² use only the digits 1, 3, 6, 7 and 9. A137039

Integers k such that 11 + 210·k*i is prime for i = 0..7. A235393

Ooguri-Vafa invariants of disk degeneracies for brane I or brane II in the O(K) -> P² geometry. A61637

Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal and vertical neighbors, with the exception of exactly one element. A283199