Properties of the Number 9993

Nine Thousand Nine Hundred Ninety-Three

Basics

Value: 9992 → 9993 → 9994

Parity: odd

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 3331

Divisors: 1, 3, 3331, 9993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100001001

Octal: 23411

Duodecimal: 5949

Hexadecimal: 2709

Square: 99860049

Square Root: 99.96499387285532

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 partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... . A52335

Numbers in which 9 outnumbers all other digits together. A292739

G.f. satisfies A(x) = x + A(x)²*(1 + A(x))². A214372

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058

For a positive number k, let L(k) denote the list consisting of k followed by the prime factors of k, with repetition, in nondecreasing order; sequence gives composite k such that the digits of L(k) are in nonincreasing order. A372034

Numbers k such that k * (k + 8) is the concatenation of a number m with itself. A116292

Rounded total surface area of a regular dodecahedron with edge length n. A71397

Numbers k such that k concatenated with itself gives the product of two numbers which differ by 8. A116161

Number of n X 2 0..1 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A202973

Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers. A78970