Properties of the Number 13306

Thirteen Thousand Three Hundred Six

Basics

Value: 13305 → 13306 → 13307

Parity: even

Prime: No

Previous Prime: 13297

Next Prime: 13309

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 6653

Divisors: 1, 2, 6653, 13306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001111111010

Octal: 31772

Duodecimal: 784A

Hexadecimal: 33fa

Square: 177049636

Square Root: 115.35163631262454

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 essentially different permutations of the numbers 1 to n such that the sum of adjacent numbers is a square. A90460

a(n) = floor(6ⁿ/(3+sqrt(3))ⁿ). A240735

T(n,k)=Number of nXk binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally. A188567

One of the two successive approximations up to 13ⁿ for 13-adic integer sqrt(3). Here the 7 (mod 13) case (except for n = 0). A322090

Row sums of Clark's triangle A046902. A100206

Least positive k such that k·Zⁿ + 1 is prime, where Z = 10¹⁰⁰+267, the first prime greater than a googol. A108344

Number of anagram compositions of 2n that can be formed from the compositions of n. A263897

Numbers k such that the continued fraction for sqrt(k) has period 69. A20408

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 1. A49900

Number of n X n binary arrays without the pattern 1 1 1 diagonally, vertically or horizontally. A188560