Properties of the Number 13635

Thirteen Thousand Six Hundred Thirty-Five

Basics

Value: 13634 → 13635 → 13636

Parity: odd

Prime: No

Previous Prime: 13633

Next Prime: 13649

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 101

Divisors: 1, 3, 5, 9, 15, 27, 45, 101, 135, 303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101000011

Octal: 32503

Duodecimal: 7A83

Hexadecimal: 3543

Square: 185913225

Square Root: 116.76900273617139

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 5 nonzero 8th powers. A3383

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

T(n,k)=Number of zero-sum -k..k arrays of n elements with first and second differences also in -k..k. A201873

2·n analog to Keith numbers. A282757

Sum of the prime parts in the partitions of n into 8 parts. A309469

a(n) = (3·n - 1)*(4·n - 1). A33578

a(n) = partitions(n)*partitions(n+1). A90982

a(1) = 1, then partial products of ∏_n>=1 (p(n)/p(n-1)*p(n)/p(n-1)) = 1·1*1*(2)*(2)*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*...*; p = partition numbers, A000041 starting (1, 2, 3, 5, ...). A171646

Deficient numbers n having a companion m > n such that σ(n)/n = σ(m)/m. A212608

First differences of 1/p(n), reciprocal of the number p(n) of unrestricted partitions of n (denominator). A272340