Properties of the Number 90045

Ninety Thousand Forty-Five

Basics

Value: 90044 → 90045 → 90046

Parity: odd

Prime: No

Previous Prime: 90031

Next Prime: 90053

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 23 × 29

Divisors: 1, 3, 5, 9, 15, 23, 27, 29, 45, 69

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111110111101

Octal: 257675

Duodecimal: 44139

Hexadecimal: 15fbd

Square: 8108102025

Square Root: 300.074990627343

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

Expansion of 1/sqrt(1 - 6·x + 25·x²). A98341

Number of ways to build a contiguous building with n LEGO blocks of size 1 X 2 on top of a fixed block of the same size. A123766

Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. A1006

Evil numbers: nonnegative integers with an even number of 1's in their binary expansion. A1969

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=1..n-1 a(k)*a(n-1-k). A4148

Numbers whose ternary expansion contains no 1's. A5823

Signature-permutation of a Catalan Automorphism: Donaghey's map M acting on the parenthesizations encoded by A014486. A57505

a(0) = 3; thereafter, a(n) = a(n-1)² - 2. A1566

Decimal expansion of the strongly carefree constant: ∏_{p prime} (1 - (3·p-2)/(p³)). A65473

a(n) = 2·a(n-1)² - 1, if n>1. a(0)=1, a(1)=3. A1601