Properties of the Number 13130

Thirteen Thousand One Hundred Thirty

Basics

Value: 13129 → 13130 → 13131

Parity: even

Prime: No

Previous Prime: 13127

Next Prime: 13147

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 13 × 101

Divisors: 1, 2, 5, 10, 13, 26, 65, 101, 130, 202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101001010

Octal: 31512

Duodecimal: 7722

Hexadecimal: 334a

Square: 172396900

Square Root: 114.58621208504974

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

Sum of 10 nonzero 8th powers. A3388

a(n) = prime(n+1)² + prime(n)². A69484

Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n). A88003

Indices i where a run of nonzero values starts in A305671. A305672

Indices i such that A305671(i) ≠ A305671(i-1). A305674

Maximum power V_s*A_s consumed by an electrical network with n unit resistors and input voltage V_s and current A_s constrained to be exact integers which are coprime, and such that all currents between nodes are integers. A340726

Length of hypotenuse squared in right triangle formed by a prime spiral plotted in Cartesian coordinates. A48851

Number of distinct differences between consecutive divisors (ordered by increasing magnitude) of n! which are not also divisors of n!. A60738

Let f(n) = ∑_j>=1 jⁿ/binomial(2·j,j) = r_n*π*sqrt(3)/3^t_n + s_n/3; sequence gives r_n. A181334

Expansion of φ(x) / φ(x²) * f(-x, -x⁷) / f(-x³, -x⁵) in powers of·where φ(), f() are Ramanujan θ functions. A230534