Properties of the Number 13693

Thirteen Thousand Six Hundred Ninety-Three

Basics

Value: 13692 → 13693 → 13694

Parity: odd

Prime: Yes

Previous Prime: 13691

Next Prime: 13697

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13693

Divisors: 1, 13693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101111101

Octal: 32575

Duodecimal: 7B11

Hexadecimal: 357d

Square: 187498249

Square Root: 117.01709276853532

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

Primes of form k² + 4. A5473

Balanced primes of order eleven. A96703

Primes such that the sum of the predecessor and successor primes is divisible by 41. A113157

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order. A204370

Prime numbers that have a triangular Voronoi cell in the Voronoi diagram of the Ulam prime spiral. A257527

Primes that are the first in a run of exactly 4 emirps. A346024

Moments of generalized Motzkin paths. A53442

Greater of twin primes of the form x²+2, x²+4. A85554

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823

Denominators of continued fraction convergents to sqrt(853). A42647