Properties of the Number 65134

Sixty-Five Thousand One Hundred Thirty-Four

Basics

Value: 65133 → 65134 → 65135

Parity: even

Prime: No

Previous Prime: 65129

Next Prime: 65141

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 29 × 1123

Divisors: 1, 2, 29, 58, 1123, 2246, 32567, 65134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001101110

Octal: 177156

Duodecimal: 3183A

Hexadecimal: fe6e

Square: 4242437956

Square Root: 255.21363599933292

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) is the number of n-bead necklaces labeled with numbers -k..k allowing reversal, with sum zero. A208825

Expansion of ∏_{i>=1, j>=1} (1 + x^{i*(2·j - 1})). A327731

a(n) = n³-((n-1)³+(n-2)³+(n-3)³). A147974

Number of 7-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero. A208828

Number of nX5 0..1 arrays with every element unequal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317860

Number of n-bead necklaces labeled with numbers -5..5 allowing reversal, with sum zero. A208822

Remainder when n is divided by the number of primes not exceeding n. A65134

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317863