Properties of the Number 73080

Seventy-Three Thousand Eighty

Basics

Value: 73079 → 73080 → 73081

Parity: even

Prime: No

Previous Prime: 73079

Next Prime: 73091

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 7 × 29

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110101111000

Octal: 216570

Duodecimal: 36360

Hexadecimal: 11d78

Square: 5340686400

Square Root: 270.33312782565145

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

Triangle read by rows: T(n,k) is the number of achiral loops (necklaces or bracelets) of length n using exactly k different colors. A305540

Sum T(n,k) of the entries in the k-th cycles of all permutations of [n]; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A285439

Irregular triangle read by rows: T(n,k) is the number of primitive (period n) periodic palindromes using exactly k different symbols, 1 <= k <= 1 + floor(n/2). A327878

Sum of entries in the first cycles of all permutations of [n]. A284816

Number of rhombus tilings of a hexagon with all sides of length 2n which contain the rhombus above and next to the center of the hexagon. A99112

The triangle T₂(n, m), where T₂(n, m) is the number of surjective multi-valued functions from {1, 1, 2, 3, ..., n-1} to {1, 2, 3, ..., m} by rows (n >= 1, 1 <= m <= n). A172106

a(n) = lcm(n,p1,p2,...,pk) for such a partition of n which maximizes this value among all partitions {p1+p2+...pk} of n. A225646

θ series of D₆ lattice. A8428

Numbers with prime factorization p·q*r·s²*t³ (where p, q, r, s, t are distinct primes). A190111

E.g.f. satisfies A(x) = 1/(1 - x)^x·A(x²). A356795