Properties of the Number 9544

Nine Thousand Five Hundred Forty-Four

Basics

Value: 9543 → 9544 → 9545

Parity: even

Prime: No

Previous Prime: 9539

Next Prime: 9547

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 1193

Divisors: 1, 2, 4, 8, 1193, 2386, 4772, 9544

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101001000

Octal: 22510

Duodecimal: 5634

Hexadecimal: 2548

Square: 91087936

Square Root: 97.6933979345585

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

Number of partitions of n having depth 1; see Comments. A237685

G.f.: 1/((1-x)²*(1-x²)*(1-x⁴)*(1-x⁸)*(1-x¹⁶)). A88954

First subdiagonal of triangular array T: T(j,1) = 1 for ((j-1) mod 8) < 4, else 0; T(j,k) = T(j-1,k-1) + T(j,k-1) for 2 <= k <= j. A131075

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 563", based on the 5-celled von Neumann neighborhood. A283047

a(n) is the unique number m such that A034460(m) = A357324(n). A357325

Number of partitions of [n] whose block maxima sum to k, where k is chosen so as to maximize this number. A367969

Formal infinite product representation for the Catalan numbers (A000108) o.g.f. series. A157161

Number of permutations p of 1,2,...,n satisfying |p(i+3)-p(i)|<>4 and |p(j+4)-p(j)|<>3 for all i=1..n-3, j=1..n-4. A189568

Prime sieve of φ. A247861

Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n-1. A211141