Properties of the Number 64998

Sixty-Four Thousand Nine Hundred Ninety-Eight

Basics

Value: 64997 → 64998 → 64999

Parity: even

Prime: No

Previous Prime: 64997

Next Prime: 65003

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 23 × 157

Divisors: 1, 2, 3, 6, 9, 18, 23, 46, 69, 138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110111100110

Octal: 176746

Duodecimal: 31746

Hexadecimal: fde6

Square: 4224740004

Square Root: 254.9470533267643

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

Number of self-avoiding polygons of area n with one (self-avoiding polygon) hole on square lattice (not allowing rotations). A57406

a(n) = cpg(n, 3) + cpg(n, 4) + ... + cpg(n, n) where cpg(n, m) is the m-th n-th-order centered polygonal number. A257051

Smallest integer that is the sum of a prime and the square of a prime in n or more ways. A381333

Number of 0..n arrays of length 5 with each element differing from at least one neighbor by something other than 1. A221575

Smallest integer that is the sum of a prime and the square of a prime in exactly n ways. A381334

a(n) = gcd(s1, s2), where s1 is the sum of the odd numbers and s2 is the sum of the even numbers in the Collatz (3x+1)trajectory of n. A277068

a(n) is the smallest prime p such that p·n! +- 1 are twin primes. A64998