Properties of the Number 993

Nine Hundred Ninety-Three

Basics

Value: 992 → 993 → 994

Parity: odd

Prime: No

Previous Prime: 991

Next Prime: 997

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 331

Divisors: 1, 3, 331, 993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100001

Octal: 1741

Duodecimal: 6A9

Hexadecimal: 3e1

Square: 986049

Square Root: 31.51190251317746

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

Central polygonal numbers: a(n) = n² - n + 1. A2061

Number of strict knapsack partitions of n. A275972

Start with 1 and repeatedly reverse the decimal digits and add 4 to get the next term. A117828

Sum of divisors of square numbers. A65764

Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. A34891

Number of sublattices of index n in generic 3-dimensional lattice. A1001

a(n) = 4·n² - 10·n + 7. A54554

a(n) is the least k such that the remainder when 10^k is divided by k is n. A127818

a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. A1000

a(n) = (31ⁿ - 1)/30. A218734