Properties of the Number 9559

Nine Thousand Five Hundred Fifty-Nine

Basics

Value: 9558 → 9559 → 9560

Parity: odd

Prime: No

Previous Prime: 9551

Next Prime: 9587

Digit Sum: 28

Digital Root: 1

Palindrome: Yes

Factorization: 11 ² × 79

Divisors: 1, 11, 79, 121, 869, 9559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010101010111

Octal: 22527

Duodecimal: 5647

Hexadecimal: 2557

Square: 91374481

Square Root: 97.77013859047148

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 subsets of {1..n} with all distinct lengths of maximal runs (increasing by 1). A384175

Nonprimes in the triangle A141020. A141031

Numbers m that generate rotationally symmetrical XOR-triangles T(m) that have central triangles of zeros. A334769

Number of words A(n,k), either empty or beginning with the first letter of the k-ary alphabet, where each letter of the alphabet occurs n times and letters of neighboring word positions are equal or neighbors in the alphabet; square array A(n,k), n>=0, k>=0, read by antidiagonals. A208673

a(n) = ∑_{k=0..floor(2·n/9)} binomial(2·n-6·k,3·k). A392405

Numbers of the concatenated form 9nn9. A102484

Numbers of the form 12n+7 for which ∑_i=0..(4n+2) J(i,12n+7) = 0, where J(i,m) is the Jacobi symbol. A165463

Numbers n such that φ(φ(n)) + σ(σ(n)) = φ(σ(n)) + σ(φ(n)), where φ=A000010 is Euler's totient function and σ=A000203 is the sum of divisors function. A66850

Numbers k with digits 5 and 9 only. A284382

a(n) = (2·n - 1)*(3·n + 1). A33569