Properties of the Number 10045

Ten Thousand Forty-Five

Basics

Value: 10044 → 10045 → 10046

Parity: odd

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 ² × 41

Divisors: 1, 5, 7, 35, 41, 49, 205, 245, 287, 1435

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111101

Octal: 23475

Duodecimal: 5991

Hexadecimal: 273d

Square: 100902025

Square Root: 100.22474744293447

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

Pentagonal numbers with even index. A49452

Triangle of coefficients in expansion of (x+1)*(x+3)*...*(x + 2n - 1) in rising powers of x. A28338

Number of partitions of n which represent first player winning Chomp positions with multiple winning moves. A112473

a(n) = n*(8·n+7). A139278

Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2·n-1)). A39757

a(n) = smallest number that leads to a new cycle under the Kaprekar map of A151949. A151964

Number of non-equivalent binary n X n matrices with two nonadjacent 1's. A232567

Triangle of coefficients in expansion of (1+x)*(1+3x)*(1+5x)*(1+7x)*...*(1+(2n-1)x). A109692

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(2,3). A268525

Least pentagonal number that is the product of n pentagonal numbers greater than 1. A212617