Properties of the Number 43680

Forty-Three Thousand Six Hundred Eighty

Basics

Value: 43679 → 43680 → 43681

Parity: even

Prime: No

Previous Prime: 43669

Next Prime: 43691

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 × 13

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: Yes

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Representations

Binary: 1010101010100000

Octal: 125240

Duodecimal: 21340

Hexadecimal: aaa0

Square: 1907942400

Square Root: 208.9976076418101

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) = 1² + 3² + 5² + 7² + ... + (2·n-1)² = n*(4·n² - 1)/3. A447

Products of 4 consecutive integers: a(n) = n*(n-1)*(n-2)*(n-3). A52762

Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1. A6145

Infinite lower triangular matrix, M, that satisfies [M²](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78121

Smallest k such that σ(x) = k has exactly n solutions. A7368

Expansion of 1/((1-2·x)*(1-8·x)). A16131

a(n) = n·sigma₂(n). A328259

Expansion of e.g.f. 1/(1 + x² * log(1 - x)). A351503

10-quantum transitions in systems of N >= 10 spin 1/2 particles, in columns by combination indices. A213352

Triangle read by rows giving number of rooted labeled trees with n >= 2 nodes and height d >= 1. A34855