Properties of the Number 45

Forty-Five

Basics

Value: 44 → 45 → 46

Parity: odd

Prime: No

Previous Prime: 43

Next Prime: 47

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5

Divisors: 1, 3, 5, 9, 15, 45

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101101

Octal: 55

Duodecimal: 39

Hexadecimal: 2d

Square: 2025

Square Root: 6.708203932499369

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous. A27

Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. A7318

The odd numbers: a(n) = 2·n + 1. A5408

a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m·n) = m·a(n) + n·a(m). A3415

The composite numbers: numbers n of the form x·y for x > 1 and y > 1. A2808

Completely multiplicative with a(prime(k)) = prime(k+1). A3961

The nonnegative integers. A1477

Remove all factors of 2 from n; or largest odd divisor of n; or odd part of n. A265

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

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