Properties of the Number 16993

Sixteen Thousand Nine Hundred Ninety-Three

Basics

Value: 16992 → 16993 → 16994

Parity: odd

Prime: Yes

Previous Prime: 16987

Next Prime: 17011

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 16993

Divisors: 1, 16993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001100001

Octal: 41141

Duodecimal: 9A01

Hexadecimal: 4261

Square: 288762049

Square Root: 130.3572015655445

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 configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250994

Partial sums of A000219. A91360

Primes p = p_n+1 such that p_n + p_n+2 = 2·p_n+1 + 12. A95673

Primes p such that x⁵⁹ = 2 has no solution mod p. A59312

Primes p such that exactly four numbers among all circular permutations of the digits of p are prime. A344628

Primes of the form x² + 1848·y². A139668

Primes congruent to 1 mod 59. A216315

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of parts > 1) is not a part. A241513

First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54808