Properties of the Number 16792

Sixteen Thousand Seven Hundred Ninety-Two

Basics

Value: 16791 → 16792 → 16793

Parity: even

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 2099

Divisors: 1, 2, 4, 8, 2099, 4198, 8396, 16792

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100000110011000

Octal: 40630

Duodecimal: 9874

Hexadecimal: 4198

Square: 281971264

Square Root: 129.5839496234005

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

First differences of A006128. A138137

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order. A204361

p-INVERT of the positive squares, where p(S) = 1 - S². A292479

Number of ways to choose three distinct points from a 5 X n grid so that they form an isosceles triangle. A271915

Number of solutions to non-attacking reflecting queens problem. A7631

a(n) is the sum over all floor(k³/n), k=0 to n inclusive. A14818

T(n,k) = (q*∑_j=0..k+1 (-1)^j*binomial(n+1, j)*(k+1-j)ⁿ - p·binomial(n-1, k))/2 where p=12 and q=14. A141697

a(n) = n³ - (n+2)². A153258

Numbers whose base-7 representation contains exactly four 6's. A43420

Antidiagonal sums of A147995 and A163545. A163484