Properties of the Number 72005

Seventy-Two Thousand Five

Basics

Value: 72004 → 72005 → 72006

Parity: odd

Prime: No

Previous Prime: 71999

Next Prime: 72019

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 14401

Divisors: 1, 5, 14401, 72005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100101000101

Octal: 214505

Duodecimal: 35805

Hexadecimal: 11945

Square: 5184720025

Square Root: 268.337474088134

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)=Number of nXk 0..3 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..3 introduced in row major order. A241349

Number of n X 2 0..3 arrays with no element equal to the same number of vertical neighbors as horizontal neighbors, with new values 0..3 introduced in row major order. A241345

Expansion of e.g.f. (1/x) * Series_Reversion( x * (1 - 3·x*exp(x))^1/3 ). A380078

Numbers k such that 22·3^k + 1 is prime. A120491

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 1, -1), (1, 1, 1)}. A150878

Smallest solution to gcd(k, reverse(k)) = 3ⁿ. A72005