Properties of the Number 8288

Eight Thousand Two Hundred Eighty-Eight

Basics

Value: 8287 → 8288 → 8289

Parity: even

Prime: No

Previous Prime: 8287

Next Prime: 8291

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 7 × 37

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001100000

Octal: 20140

Duodecimal: 4968

Hexadecimal: 2060

Square: 68690944

Square Root: 91.03845341392834

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

Number of representations of n as a sum of products of distinct pairs of positive integers, considered to be equivalent when terms or factors are reordered. A211856

Number T(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet such that all k letters occur at least once in the multiset; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A257740

Numbers n such that every digit occurs at least once in n³. A119735

Four times second pentagonal numbers: a(n) = 2·n*(3·n+1). A33580

Number of 8's in all partitions of n. A24792

a(n) = n*(8·n+3). A139276

Numbers in which 8 outnumbers all other digits together. A292738

Triangle T(n,k) whose k-th column is the k-fold self-convolution of the primes; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A340991

Number of partitions of 5n such that cn(0,5) = cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5). A36886

a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=2,a(2)=9. A154495