Properties of the Number 41931

Forty-One Thousand Nine Hundred Thirty-One

Basics

Value: 41930 → 41931 → 41932

Parity: odd

Prime: No

Previous Prime: 41927

Next Prime: 41941

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1553

Divisors: 1, 3, 9, 27, 1553, 4659, 13977, 41931

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001111001011

Octal: 121713

Duodecimal: 20323

Hexadecimal: a3cb

Square: 1758208761

Square Root: 204.77060335897826

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 12 positive 9th powers. A4801

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280810

O.g.f.: ∑_n>=0 3*(n+3)^n-1*xⁿ/(1+n·x)ⁿ. A195255

Expansion of 1/(1 - x/(1 - x⁸/(1 - x²⁷/(1 - x⁶⁴/(1 - x¹²⁵/(1 - x²¹⁶/(1 - ... - x^n³/(1 - ...)))))))), a continued fraction. A291146

Number of nX5 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280807

a(n) = -a(n-2) + 2·a(n-4) - a(n-10). A89135

Number of n X n 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280803

Denominators of continued fraction convergents to sqrt(488). A41931

Number of n X 6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 1 1 1 vertically. A207843