Properties of the Number 40575

Forty Thousand Five Hundred Seventy-Five

Basics

Value: 40574 → 40575 → 40576

Parity: odd

Prime: No

Previous Prime: 40559

Next Prime: 40577

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ² × 541

Divisors: 1, 3, 5, 15, 25, 75, 541, 1623, 2705, 8115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111001111111

Octal: 117177

Duodecimal: 1B593

Hexadecimal: 9e7f

Square: 1646330625

Square Root: 201.43237078483688

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 with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302528

a(n) = n! + 2ⁿ - 1. A127986

Maximal number of partitions having the same degree in the partition graph G(n) defined at A241150. A241152

E.g.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (exp(n·x) + 1)ⁿ / (1 + x·exp(n·x))ⁿ⁺³. A325996

Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302523

The denominators of a series that converges to log(2) obtained using Whittaker's root series formula. A367596

Triangle read by rows: T(n,k) = Stirling2(n, k+1) + abs(Stirling1(n,k)), 0 <= k <= n. A152924

Continued fraction for sqrt(600). A40575

The numerators of a series that converges to log(2) obtained using Whittaker's Root Series Formula. A367597