Properties of the Number 65391

Sixty-Five Thousand Three Hundred Ninety-One

Basics

Value: 65390 → 65391 → 65392

Parity: odd

Prime: No

Previous Prime: 65381

Next Prime: 65393

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 71 × 307

Divisors: 1, 3, 71, 213, 307, 921, 21797, 65391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111111101101111

Octal: 177557

Duodecimal: 31A13

Hexadecimal: ff6f

Square: 4275982881

Square Root: 255.71664005300866

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

an=n-th smallest integer m=p1·p2·p3, product of 3 odd primes such that d+2m/d are all primes for d dividing 2m. A128278

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 37 ones. A31805

An eighth of the product of three integers surrounding the (n+1)-st prime, minus half of the product of the 3 numbers surrounding n+1. A141535

Growth series for affine Coxeter group (or affine Weyl group) D₅. A266760

30·a(n) is the gap between sexy prime triples in the n-th sexy prime triple triple whose initial term is 11. A90890

Number of nX(n+4) arrays of permutations of n+4 copies of 0..n-1 with every element equal to or 1 greater than any north, southwest or northwest neighbors modulo n and the upper left element equal to 0. A267200

Number of 7 X n arrays containing n copies of 0..7-1 with every element equal to or 1 greater than any north, southwest or northwest neighbors modulo 7 and the upper left element equal to 0. A267205

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, southwest or northwest neighbors modulo n and the upper left element equal to 0. A267197

Numbers m such that A062401(m) = φ(σ(m)) is increasing to a record value, i.e., A062401(m) represents a new peak, so that A062401(m) > A062401(k) for all k < m. A65391