Properties of the Number 81305

Eighty-One Thousand Three Hundred Five

Basics

Value: 81304 → 81305 → 81306

Parity: odd

Prime: No

Previous Prime: 81299

Next Prime: 81307

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 23 × 101

Divisors: 1, 5, 7, 23, 35, 101, 115, 161, 505, 707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110110011001

Octal: 236631

Duodecimal: 3B075

Hexadecimal: 13d99

Square: 6610503025

Square Root: 285.1403163356596

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

Logarithmic derivative of A112936 such that a(n)=(1/3)*A112936(n+1) for n>0, where A112936 equals the INVERT transform (with offset) of triple factorials A008544. A112937

Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 4,0 4,1 5,0 6,0 polyhexes in any orientation on a planar nXnXn triangular grid. A155397

Dimensions of algebraic generators of Hopf algebra PML₁. A230883

Number of numbers m <= n with at least one prime factor greater than 2·spf(m), where spf(m) is the smallest prime factor of m (A020639). A81305

a(n) = (∏_{e_i=0..1} (∏_i=1..n p_i^e_i + ∏_i=1..n p_i^1-e_i))^1/2 where p_i is the i-th prime. A112404