Properties of the Number 16137

Sixteen Thousand One Hundred Thirty-Seven

Basics

Value: 16136 → 16137 → 16138

Parity: odd

Prime: No

Previous Prime: 16127

Next Prime: 16139

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 163

Divisors: 1, 3, 9, 11, 33, 99, 163, 489, 1467, 1793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111100001001

Octal: 37411

Duodecimal: 9409

Hexadecimal: 3f09

Square: 260402769

Square Root: 127.03149215844077

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

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nXk array. A219828

Sum over all partitions of n of the number of distinct parts i of multiplicity i - 1. A277101

Numbers which are the sum of two positive cubes and divisible by 11. A101852

Maximal value of sum(p(i)p(i+1),i=1..n), where p(n+1)=p(1), as p ranges over all permutations of {1,2,...,n}. A110610

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 533", based on the 5-celled von Neumann neighborhood. A282957

Somos's sequence {b(7,n)} defined in comment in A078495: a(0)=a(1)=...=a(16)=1; for n>=17, a(n)=(a(n-1)*a(n-16)+a(n-8)*a(n-9))/a(n-17). A271954

Number of 4-line partitions of n decreasing across rows. A3292

Difference between n-th prime squared and n-th perfect square. A106588

Number of Dyck paths of semilength n such that the maximal number of peaks per level equals five. A288746

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n-1), where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296290