Properties of the Number 72939

Seventy-Two Thousand Nine Hundred Thirty-Nine

Basics

Value: 72938 → 72939 → 72940

Parity: odd

Prime: No

Previous Prime: 72937

Next Prime: 72949

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 41 × 593

Divisors: 1, 3, 41, 123, 593, 1779, 24313, 72939

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110011101011

Octal: 216353

Duodecimal: 36263

Hexadecimal: 11ceb

Square: 5320097721

Square Root: 270.07221256545444

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 (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254586

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A254361

Number of partitions p of n such that 2*(number of even numbers in p) >= (number of odd numbers in p). A241654

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A254354

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A254357

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254582

Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254589

Define a sequence c depending on n as follows: c(1)=1 and c(2)=n; c(k+2) = (c(k+1) + c(k))/2 if c(k+1) and c(k) have the same parity; otherwise c(k+2) = abs(c(k+1) - 2·c(k)); sequence gives values of n such that lim_k->oo c(k) = infinity. A72939