Properties of the Number 13580

Thirteen Thousand Five Hundred Eighty

Basics

Value: 13579 → 13580 → 13581

Parity: even

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 7 × 97

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100001100

Octal: 32414

Duodecimal: 7A38

Hexadecimal: 350c

Square: 184416400

Square Root: 116.53325705565771

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

Positive integers k such that k!!! - 1 = A007661(k) - 1 is prime. A84438

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having five times any element equal to the sum of the remaining five. A249530

Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-4). A23434

a(n) = T(n,n-5), array T as in A055807. A55810

Expansion of a level 11 weight 7 multiplicative modular form in powers of q. A138661

The number of partitions of [n] with exactly 2 blocks without peaks. A289692

a(n) = n*(17·n - 1)/2. A22274

G.f.: ∑_n>=0 (n+1)*(n+2)*(n+3)/3! * (x + xⁿ)ⁿ. A325999

Matrix product of unsigned Lah-triangle |A008297(n,k)| and Stirling2-triangle A008277(n,k). A88814

Double partial sums of (n·its dyadic valuation). A90889