Properties of the Number 90741

Ninety Thousand Seven Hundred Forty-One

Basics

Value: 90740 → 90741 → 90742

Parity: odd

Prime: No

Previous Prime: 90731

Next Prime: 90749

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 29 × 149

Divisors: 1, 3, 7, 21, 29, 87, 149, 203, 447, 609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10110001001110101

Octal: 261165

Duodecimal: 44619

Hexadecimal: 16275

Square: 8233929081

Square Root: 301.2324683695302

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

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k). A137356

Expansion of 1/(1 - x³/(1-x)⁵). A369804

a(n) = ∑_{k=0..floor(2·n/5)} binomial(2·n-2·k,3·k). A392401

a(n) = ∑_{k=0..floor(2·n/3)} binomial(2·k,2·n-3·k). A392428

Number of (n+1) X (1+1) arrays of permutations of 0..n·2+1 with each element having directed index change -2,0 -1,0 0,-1 or 1,1. A264622

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, 1), (1, 1, -1), (1, 1, 1)}. A151002

Maximum number of transversals in a Latin square of order n. A90741

Square array A(n, k) = A048720(A065621(σ((2n-1)²)), σ((2k-1)²)), read by falling antidiagonals, (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), etc. A379221