Properties of the Number 40581

Forty Thousand Five Hundred Eighty-One

Basics

Value: 40580 → 40581 → 40582

Parity: odd

Prime: No

Previous Prime: 40577

Next Prime: 40583

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 167

Divisors: 1, 3, 9, 27, 81, 167, 243, 501, 1503, 4509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111010000101

Octal: 117205

Duodecimal: 1B599

Hexadecimal: 9e85

Square: 1646817561

Square Root: 201.4472635703945

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

Sum of positive cranks minus the sum of positive ranks of all partitions of n. A195012

Expansion of g.f.: ( ∑_n>=0 (-3)ⁿ*(2·n+1)*x^n*(n+1/2) )^-1/3. A193236

Number of 2 X 2 matrices having all terms in {-n,...,0,..,n} and even nonnegative determinant. A211156

Number of ways to tile a 3 X n strip with dominoes and L-shaped 5-minoes. A346054

Number of nX7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208687

Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 1 and 1 0 1 vertically. A208690

(s(n)+s(n+1))/6, where s()=A006521. A16059

(s(n)+s(n+1))/18, where s()=A006521. A16060

Balance scale sequence. A265500