Properties of the Number 13106

Thirteen Thousand One Hundred Six

Basics

Value: 13105 → 13106 → 13107

Parity: even

Prime: No

Previous Prime: 13103

Next Prime: 13109

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 6553

Divisors: 1, 2, 6553, 13106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001100110010

Octal: 31462

Duodecimal: 7702

Hexadecimal: 3332

Square: 171767236

Square Root: 114.48143954370944

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 T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=2·floor(n/3), read by rows. A238556

A014486-encoding of plane binary trees (Stanley's d) whose interior zigzag-tree (Stanley's c, i.e., tree obtained by discarding the outermost edges of the binary tree) is isomorphic to a valid plane binary tree (Stanley's d). A80299

a(0) = 2 and, for n >= 1, rewrite 0->100 in the binary expansion of n and append 10 to the right. A80310

G.f. A(x) satisfies: A'(x) = 2·Series_Reversion( x - A(x)*A'(x) ). A259271

Numbers whose set of base-16 digits is {2,3}. A32816

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 126", based on the 5-celled von Neumann neighborhood. A274059

Number of base-2 strong pseudoprimes (A001262) less than 2ⁿ. A108797

a(n) = (6-(-4)ⁿ)/5. A166114

E.g.f. exp(x+1/6·x³+1/24·x⁴). A190729

Positions of records in A268672. A268713