Properties of the Number 72984

Seventy-Two Thousand Nine Hundred Eighty-Four

Basics

Value: 72983 → 72984 → 72985

Parity: even

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 3041

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 3041, 6082

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100011000

Octal: 216430

Duodecimal: 362A0

Hexadecimal: 11d18

Square: 5326664256

Square Root: 270.1555107711112

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

Indices of prime NSW numbers A088165. A113501

Solution to the non-squashing boxes problem (version 2). A89055

Number of length n+2 0..3 arrays with at most one downstep in every n consecutive neighbor pairs. A258732

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 961", based on the 5-celled von Neumann neighborhood. A273833

Number of permutations of 5..n+4 with no element greater than or equal to the sum of its neighbors. A180893

Least k such that prime(n) appears in the factorization of A001008(k) (the numerator of the k-th harmonic number). A72984