Properties of the Number 9504

Nine Thousand Five Hundred Four

Basics

Value: 9503 → 9504 → 9505

Parity: even

Prime: No

Previous Prime: 9497

Next Prime: 9511

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10010100100000

Octal: 22440

Duodecimal: 5600

Hexadecimal: 2520

Square: 90326016

Square Root: 97.48846085563153

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) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Betrothed (or quasi-amicable) numbers. A5276

Numbers k for which k·gcd(σ(k), A276086(k)) is equal to σ(k) * gcd(k, A276086(k)), where A276086 is the primorial base exp-function, and σ gives the sum of divisors of its argument. A351458

T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally. A188747

T(n,k) = Number of length n+3 0..k arrays with no four consecutive terms having the sum of any three elements equal to three times the fourth. A249290

Numbers k such that k | sigma₅(k). A55709

29-gonal numbers: a(n) = n*(27·n-25)/2. A255187

a(n) = n²*binomial(n,2). A92364

T(n,k) = Number of n-step self-avoiding walks on a k X k X k cube summed over all starting positions. A187162

Triangle read by rows: T(n,k) = number of circuits of length k in the complete undirected graph on n labeled vertices, for n >= 1 and k = 0 .. n(n-1)/2. A357887