Properties of the Number 72985

Seventy-Two Thousand Nine Hundred Eighty-Five

Basics

Value: 72984 → 72985 → 72986

Parity: odd

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 11 × 1327

Divisors: 1, 5, 11, 55, 1327, 6635, 14597, 72985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100011001

Octal: 216431

Duodecimal: 362A1

Hexadecimal: 11d19

Square: 5326810225

Square Root: 270.15736155063405

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

Number of integer partitions of n whose parts minus 1 are relatively prime. A328170

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251228

Number of (n+1) X (2+1) 0..1 arrays with no 2 X 2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251222

Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the minimum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251225

Numbers k such that (29·10^k + 91)/3 is prime. A269797

Coefficient of the highest power of q in the expansion of ν(0)=1, ν(1)=b and for n >= 2, ν(n) = b*ν(n-1) + λ*(n-1)_q*ν(n-2) with (b,λ)=(2,3), where (n)_q = (1+q+...+q^n-1) and q is a root of unity. A72985