Properties of the Number 81445

Eighty-One Thousand Four Hundred Forty-Five

Basics

Value: 81444 → 81445 → 81446

Parity: odd

Prime: No

Previous Prime: 81439

Next Prime: 81457

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 13 × 179

Divisors: 1, 5, 7, 13, 35, 65, 91, 179, 455, 895

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000100101

Octal: 237045

Duodecimal: 3B171

Hexadecimal: 13e25

Square: 6633288025

Square Root: 285.38570391664683

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

Array read by antidiagonals: T(n,m) = number of self-avoiding walks of any length from NW to SW corners on a grid with n rows and m columns. A271465

E.g.f. exp(5x)/(1-x). A80954

Permanent of the n X n matrix with all diagonal entries n and all off diagonal entries 1. A217701

Principal diagonal of the convolution array A213564. A213565

a(n) = binomial(n,3) + 6·binomial(n,4) + 15·binomial(n,5) + 15·binomial(n,6). A382081

Numbers whose base-5 representation has exactly 8 runs. A43608

Smallest squares such that partial sums of the sequence plus 11 are primes. A81445

Array read by antidiagonals, a(n,k) = γ(n+1,k)*e^k, where γ(n,k) is the upper incomplete γ function and e is the exponential constant 2.71828... A134558