Properties of the Number 13606

Thirteen Thousand Six Hundred Six

Basics

Value: 13605 → 13606 → 13607

Parity: even

Prime: No

Previous Prime: 13597

Next Prime: 13613

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 6803

Divisors: 1, 2, 6803, 13606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100100110

Octal: 32446

Duodecimal: 7A5A

Hexadecimal: 3526

Square: 185123236

Square Root: 116.64475984801032

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 compositions of n such that each part is adjacent to an equal part. A114901

Number of integer partitions of n that have an even number of parts and cannot be partitioned into distinct pairs of distinct parts, i.e., that are not the multiset union of any set of edges. A339559

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of two tones of musical harmony: the perfect 4th, 4/3 and its complement the perfect 5th, 3/2. A60528

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern up, down, down, up; triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-2)/3)), read by rows. A230695

Consecutive states of the linear congruential pseudo-random number generator (10924·s+11830) mod (2¹⁵+1) when started at s=1. A384150

Semiprimes that are the sum of two successive semiprimes and also the sum of three successive semiprimes. A370162

Expansion of g.f.: 2^floor((n+1/2))*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = 1. A171695

Denominators of semiconvergents to log₂(3), which equals log(3)/log(2). A206788

G.f. satisfies A(x) = 1 + x·A(x)*(1 + x²*A(x)⁵). A365761

Expansion of g.f. x*(x⁴ - 5·x³ + 10·x² - 12·x + 4)/((1-x)²*(1 - 3·x + 2·x² - x³)). A129080