Properties of the Number 13138

Thirteen Thousand One Hundred Thirty-Eight

Basics

Value: 13137 → 13138 → 13139

Parity: even

Prime: No

Previous Prime: 13127

Next Prime: 13147

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 6569

Divisors: 1, 2, 6569, 13138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101010010

Octal: 31522

Duodecimal: 772A

Hexadecimal: 3352

Square: 172607044

Square Root: 114.62111498323509

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

G.f. satisfies: A(x) = 1 + x·A(x)/(1 - x²*A(x)²). A101785

Number of isomorphism classes of non-associative non-commutative anti-associative non-anti-commutative closed binary operations on a set of order n. A79235

G.f. A(x) satisfies A(x) = 1 / ((1 - x) * (1 - x·A(x³))). A367691

Number of two-rowed partitions of length 6. A70559

a(n) is the smallest number that is the sum of n positive 6th powers in two ways. A343079

Array read by antidiagonals: T(m,n) = number of maximal irredundant sets in the grid graph P_m X P_n. A291439

Triangle read by rows: T(n,k) gives the number of permutations of length n containing exactly k instances of the 1-box pattern; 0 <= k <= n. A346462

Numbers whose concatenation of prime factors (with multiplicity) is a square. A38693

Number of rooted trees with n nodes and 10 leaves. A55285

Largest integer terms forming a self-convolution 4th root of a sequence (A132837) such that: A132837(n) <= 4·A132837(n-1) for n>0 with A132837(0)=1. A132838