Properties of the Number 13687

Thirteen Thousand Six Hundred Eighty-Seven

Basics

Value: 13686 → 13687 → 13688

Parity: odd

Prime: Yes

Previous Prime: 13681

Next Prime: 13691

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13687

Divisors: 1, 13687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010101110111

Octal: 32567

Duodecimal: 7B07

Hexadecimal: 3577

Square: 187333969

Square Root: 116.9914526792449

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 the form k² - 2. A28871

Primes followed by a [4,2,4] prime difference pattern of A001223. A52378

Primes p with q(p) + 1 also prime, where q(.) is the strict partition function (A000009). A234530

Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223. A52166

a(n) = ∑_{1 <= i, j, k <= n} gcd(i,j,k). A344522

a(0)=2, a(n) = n²+a(n-1). A153056

Lesser of a pair (p,p+4) of cousin primes whose arithmetic mean p+2 is a square number. A176130

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

a(n) = A056520(n)+1 for n>0, a(0)=1. A179904

Primes p such that (p+nextprime(p))/2 is a perfect square. A225195