Properties of the Number 8993

Eight Thousand Nine Hundred Ninety-Three

Basics

Value: 8992 → 8993 → 8994

Parity: odd

Prime: No

Previous Prime: 8971

Next Prime: 8999

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 17 × 23 ²

Divisors: 1, 17, 23, 391, 529, 8993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10001100100001

Octal: 21441

Duodecimal: 5255

Hexadecimal: 2321

Square: 80874049

Square Root: 94.83142938920619

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) = n*(11·n² - 5)/6. A4467

a(n) = 17·n². A244630

Number of (w,x,y,z) with all terms in {1,...,n} and median=mean. A212133

Odd composite integers m such that A003501(m-J(m,21)) == 2 (mod m) and gcd(m,21)=1, where J(m,21) is the Jacobi symbol. A339130

Number of subsets of {1..n} containing n such that some element can be written as a positive linear combination of the others. A365042

Haüy rhombic dodecahedral numbers. A46142

Concentric 17-gonal numbers. A195047

Maximum water retention of a number square of order n. A261347

a(n) = sum of the n-th column of the array A265163(n,k). See Comments for more details. A265165

Expansion of ∏_k>=1 1/(1 - x^k)^p(k-p(k-1)), where p(k) = number of partitions of k (A000041). A304967