Properties of the Number 19993

Nineteen Thousand Nine Hundred Ninety-Three

Basics

Value: 19992 → 19993 → 19994

Parity: odd

Prime: Yes

Previous Prime: 19991

Next Prime: 19997

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 19993

Divisors: 1, 19993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000011001

Octal: 47031

Duodecimal: B6A1

Hexadecimal: 4e19

Square: 399720049

Square Root: 141.39660533407442

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

Primes with either no internal digits or all internal digits are 9. A69684

Number of squares on infinite chessboard at <= n knight's moves from a fixed square. A18836

Partial sums of A151791. A151792

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(∑_j=1..k x^j). A293669

Primes p such that p's set of distinct digits is {1,3,9}. A108383

Triangle read by rows: T(n,k) is the number of nilpotent subpermutations on an n-set, each of nilpotency index less than or equal to k. A261764

Stable Poincaré series [or Poincare series] for Lie algebra of type A (i.e., the variety of complex k X k matrices with distinct eigenvalues). A98787

Primes containing 999 as a substring. A167292

Smallest prime modulus p such that there exists a multiplicative-coset Ramsey algebra in n colors over Z/pZ, or 0 if no such prime exists. A263308

Smallest prime p such that the multiplicative order of 9 modulo p is 2·n, or 0 if no such prime exists. A372799