Properties of the Number 6889

Six Thousand Eight Hundred Eighty-Nine

Basics

Value: 6888 → 6889 → 6890

Parity: odd

Prime: No

Previous Prime: 6883

Next Prime: 6899

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 83 ²

Divisors: 1, 83, 6889

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101001

Octal: 15351

Duodecimal: 3BA1

Hexadecimal: 1ae9

Square: 47458321

Square Root: 83

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

Squares of primes. A1248

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475

Prime powers p^e where p is a prime and e >= 2 (prime powers without the primes or 1). A246547

Numbers of the form p^e where both p and e are prime numbers. A53810

Strobogrammatic numbers: the same upside down. A787

Prime powers with even nonnegative exponents. A56798

Zeroless prime powers (excluding primes): Intersection of A025475 and A052382. A195942

Number of labeled series-reduced mobiles (circular rooted trees) with n leaves (root has degree 0 or >= 2). A32188

Number of integer partitions of n with parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts. A363260