Properties of the Number 12689

Twelve Thousand Six Hundred Eighty-Nine

Basics

Value: 12688 → 12689 → 12690

Parity: odd

Prime: Yes

Previous Prime: 12671

Next Prime: 12697

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 12689

Divisors: 1, 12689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11000110010001

Octal: 30621

Duodecimal: 7415

Hexadecimal: 3191

Square: 161010721

Square Root: 112.6454615153225

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 that are the first in a run of exactly 2 emirps. A346022

Primes p such that (p³² + 1)/2 is prime. A341224

Primes p of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=2. A152292

Primes p such that x⁶¹ = 2 has no solution mod p. A59230

Primes of the form a⁵ + b³ with a,b>0. A100273

Numbers n such that n-+1 are divisible by exactly 6 primes, counted with multiplicity. A157486

Odd primes p with prime(2·p) - 2·prime(p) and prime(p) - 2·prime((p-1)/2) both prime. A236075

Smallest prime having exactly n representations as a²+b²+c² with c >= b >= a > 0. A94714

Number of partitions of n such that the numbers of prime and composite parts differ by at least 1. A116450

Smallest n-digit emirp (A006567) with strictly increasing (distinct) digits. A127747