Properties of the Number 13637

Thirteen Thousand Six Hundred Thirty-Seven

Basics

Value: 13636 → 13637 → 13638

Parity: odd

Prime: No

Previous Prime: 13633

Next Prime: 13649

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 1049

Divisors: 1, 13, 1049, 13637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101000101

Octal: 32505

Duodecimal: 7A85

Hexadecimal: 3545

Square: 185967769

Square Root: 116.77756633874505

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

Numbers that are the sum of 7 nonzero 8th powers. A3385

Numbers k such that k, k+2, k+4, k+6, k+8, k+10 are semiprimes. A92128

Smallest number m such that m²+1 is divisible by A002144(n)² (= squares of primes congruent to 1 mod 4). A59321

Number of partitions of n in which each even part has odd multiplicity. A130126

Positions of 3's in A234323. A234804

Triangle, read by rows, defined by: T(n,k) = (k+1)*T(n,k+1) - ∑_j=1..n-k-1 T(j,0)*T(n,j+k+1) for n>k with T(n,n)=1 for n>=0. A117396

Number of n-crossing links with alternating braids of 3 strands. A94029

Riordan array (f(x), x·f(x)) where f(x) is the g.f. of A005773(n+1)= 1,2,5,13,35,96,267,... A171488

Square array read by antidiagonals, where the top row is the nonnegative integers and the other numbers are the sum of the neighbors in the preceding row. A217536

a(n) = ∑_k=0..n binomial(n, k)*(2^k - binomial(k, floor(k/2))). A330796