Properties of the Number 8997

Eight Thousand Nine Hundred Ninety-Seven

Basics

Value: 8996 → 8997 → 8998

Parity: odd

Prime: No

Previous Prime: 8971

Next Prime: 8999

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 2999

Divisors: 1, 3, 2999, 8997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001100100101

Octal: 21445

Duodecimal: 5259

Hexadecimal: 2325

Square: 80946009

Square Root: 94.8525170989152

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

a(n) = 2·a(n-1) + a(n-2) - a(n-3) for n >= 3, starting with a(0) = 1, a(1) = 3, and a(2) = 6. A6356

Expansion of (1-x)/(1-2·x-x²+x³). A77998

Concatenate the n-th and (n+1)st prime. A45533

Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by decreasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319375

3-wave sequence starting with 1, 1, 1. A38196

Numbers with rounded up arithmetic mean of digits = 9. A178369

Let i be in {1,2,3}, let r >= 0 be an integer and n=2·r+i-1. Then a(n)=a(2·r+i-1) gives the quantity of H_7,3,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x=sqrt((2·cos(π/7))²-1). A187070

Let i be in {1,2,3}, let r >= 0 be an integer and n=2·r+i-1. Then a(n)=a(2·r+i-1) gives the quantity of H_7,1,0 tiles in a subdivided H_7,i,r tile after linear scaling by the factor x^r, where x=sqrt((2·cos(π/7))²-1). A187068

Starting numbers for which the RATS sequence has eventual period 14. A114615

Concatenations of pairs of primes that differ by 8. A104718