Properties of the Number 9180

Nine Thousand One Hundred Eighty

Basics

Value: 9179 → 9180 → 9181

Parity: even

Prime: No

Previous Prime: 9173

Next Prime: 9181

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ³ × 5 × 17

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111011100

Octal: 21734

Duodecimal: 5390

Hexadecimal: 23dc

Square: 84272400

Square Root: 95.81231653602788

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) is the number of distinct reduced words of length n in the Coxeter group of "Apollonian reflections" in three dimensions. A154638

Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534

Partial sums of A299283. A299284

Multiples of 18 containing a 18 in their decimal representation. A121038

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

Pairs (j, k) of numbers j<k such that φ(j) = φ(k), σ(j) = σ(k), d(j) = d(k). A134922

Amicable triples: numbers such that σ(x) = σ(y) = σ(z) = x+y+z, x<y<z. We order these triples according to the common value of σ. Sequence gives·numbers. A125490

a(n) = 2·n*(4·n - 1). A14635

Staggered diagonal of triangular spiral in A051682. A81266

When expressed in base 2 and then interpreted in base 9, is a multiple of the original number. A62850