Properties of the Number 41013

Forty-One Thousand Thirteen

Basics

Value: 41012 → 41013 → 41014

Parity: odd

Prime: No

Previous Prime: 41011

Next Prime: 41017

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 ² × 31

Divisors: 1, 3, 7, 9, 21, 27, 31, 49, 63, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000000110101

Octal: 120065

Duodecimal: 1B899

Hexadecimal: a035

Square: 1682066169

Square Root: 202.51666598085205

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 nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208688

Cube root of A061096(n). A67177

a(n) = n*(n+1)*(n+7)*(122+57·n+n²)/120. A101862

Numbers k divisible respectively by the sum of digits, the sum of the squares and the sum of the cubes of digits in base 10 of k. A169664

Ratio A191650(n+1)/A191650(n). A191651

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208685

Number of 6 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208692

a(n) = (4·n+9)*n². A258618

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 557", based on the 5-celled von Neumann neighborhood. A272926

Expansion of ∏_k>=0 (1 + x^{3^k} + x^{2·3^k} + x^{3^(k+1}))^{3^k}. A309046