Properties of the Number 13695

Thirteen Thousand Six Hundred Ninety-Five

Basics

Value: 13694 → 13695 → 13696

Parity: odd

Prime: No

Previous Prime: 13693

Next Prime: 13697

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 83

Divisors: 1, 3, 5, 11, 15, 33, 55, 83, 165, 249

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010101111111

Octal: 32577

Duodecimal: 7B13

Hexadecimal: 357f

Square: 187553025

Square Root: 117.0256382165891

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

a(n) = (2·n+1)*(4·n+1). A14634

Numbers k such that σ(k) = σ(k+7). A15867

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165

Terms of A324315 (squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p) that are also hexagonal numbers (A000384) with index equal to their largest prime factor. A324319

Smallest triangular number with Hamming weight n (i.e., with exactly n 1's when written in binary). A89999

Triangular numbers which are the average of two consecutive primes. A130178

a(n) = 5·n*(5·n + 1)/2. A144312

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

Expansion of x⁴*(2+x)/((1+x)*(1-x)⁵). A82289