Properties of the Number 45480

Forty-Five Thousand Four Hundred Eighty

Basics

Value: 45479 → 45480 → 45481

Parity: even

Prime: No

Previous Prime: 45439

Next Prime: 45481

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 379

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000110101000

Octal: 130650

Duodecimal: 223A0

Hexadecimal: b1a8

Square: 2068430400

Square Root: 213.2604042010612

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

Dying rabbits: a(0) = 1; for 1 <= n <= 12, a(n) = Fibonacci(n); for n >= 13, a(n) = a(n-1) + a(n-2) - a(n-13). A44

Number of ways to write n as an ordered sum of ten powers of 2. A342254

Triangle read by rows of partial Bell polynomials B_n,k(x₁,...,x_n-k+1) evaluated at 2, 2, 12, 72, ..., (n-k)(n-k+1)!, divided by (n-k+1)!, n >= 1, 1 <= k <= n. A353132

Number of minimum connected dominating sets in the n-Goldberg graph. A382384

McKay-Thompson series of class 3A for Monster. Expansion of Hauptmodul for X₀⁺(3). A45480

G.f. satisfies: A(x) = 1 + x·A(x)² + 3·x²*A'(x)*A(x). A215648

Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of vertices in a regular n-gon after k generations of mitosis. A350501

The number of iterations of the map x -> A033880(x) starting at n until the a nonpositive number is reached, or 0 if this does not happen. A371921