Properties of the Number 65841

Sixty-Five Thousand Eight Hundred Forty-One

Basics

Value: 65840 → 65841 → 65842

Parity: odd

Prime: No

Previous Prime: 65839

Next Prime: 65843

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 1291

Divisors: 1, 3, 17, 51, 1291, 3873, 21947, 65841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000100110001

Octal: 200461

Duodecimal: 32129

Hexadecimal: 10131

Square: 4335037281

Square Root: 256.59501164286104

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 integer partitions of n such that the dual of the multiset partition obtained by factoring each part into prime numbers is a (strict) antichain, also called T₁ integer partitions. A326977

a(n) = ((2^b-1)/φ(n))*∑_d∣n Moebius(n/d)*d^b-1 for b = 17. A161215

a(1) = 1; a(2) = 2; a(3) = 3; a(n) is concatenation of a(n-3), a(n-2) and a(n-1). A65841