Properties of the Number 9580

Nine Thousand Five Hundred Eighty

Basics

Value: 9579 → 9580 → 9581

Parity: even

Prime: No

Previous Prime: 9551

Next Prime: 9587

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 479

Divisors: 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101101100

Octal: 22554

Duodecimal: 5664

Hexadecimal: 256c

Square: 91776400

Square Root: 97.87747442593725

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) = ∑_k<=n A000203(k)*(n-k+1), where A000203(m) is the sum of divisors of m. A175254

Numbers n such that Bernoulli number B_n has denominator 330. A272183

Larger of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = ψ(n) - n and ψ(n) = A001615(n) is the Dedekind ψ function. A323330

a(n) is the number of integer partitions of n for which the length is equal to the index of the seaweed algebra formed by the integer partition paired with its weight. A318178

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+479)² = y². A207075

Absolute value of coefficient of X² in the characteristic polynomial of the n-th power of the matrix M = {{1,1,1,1,1}, {1,0,0,0,0}, {0,1,0,0,0}, {0,0,1,0,0}, {0,0,0,1,0}}. A123126

a(n) = ((4+3·sqrt(2))*(4+sqrt(2))ⁿ + (4-3·sqrt(2))*(4-sqrt(2))ⁿ)/4. A164034

Integers of the form (k+1)*(2k+1)/12. A164578

Inverse of coefficient array of orthogonal polynomials P(n,x)=(x-2n)*P(n-1,x)-(2n-3)*P(n-2,x), P(0,x)=1,P(1,x)=x-2. A178121

Molien series for invariants of finite Coxeter group A₁₁. A266780