Properties of the Number 72589

Seventy-Two Thousand Five Hundred Eighty-Nine

Basics

Value: 72588 → 72589 → 72590

Parity: odd

Prime: No

Previous Prime: 72577

Next Prime: 72613

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 11 × 6599

Divisors: 1, 11, 6599, 72589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101110001101

Octal: 215615

Duodecimal: 36011

Hexadecimal: 11b8d

Square: 5269162921

Square Root: 269.4234585183703

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 length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than k. A204213

The indexing sequence for successively better golden semiprimes. A165569

Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than 3. A204208

a(1) = a(2) = a(3) = 1; for n>2, a(n+1) = a(n) + a(n-1) + a(n-2) iff a(n) is prime, otherwise a(n+1) = a(n) + 1. A113058

Number of nX2 0..7 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201095

n, φ(n) and σ(n) end with the same digit. A72589