Properties of the Number 39944

Thirty-Nine Thousand Nine Hundred Forty-Four

Basics

Value: 39943 → 39944 → 39945

Parity: even

Prime: No

Previous Prime: 39937

Next Prime: 39953

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 4993

Divisors: 1, 2, 4, 8, 4993, 9986, 19972, 39944

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000001000

Octal: 116010

Duodecimal: 1B148

Hexadecimal: 9c08

Square: 1595523136

Square Root: 199.85995096566995

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

Interpret the values of the Moebius function μ(k) for k = n to 1 as a balanced ternary number. A292779

Number of binary words of length n with an even number of occurrences of the subword 0101. A332052

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 0)}. A149019

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A235289

Undulating palindromic primes of form ABABAB...BA with alternating prime and nonprime digits. A39944