Properties of the Number 16791

Sixteen Thousand Seven Hundred Ninety-One

Basics

Value: 16790 → 16791 → 16792

Parity: odd

Prime: No

Previous Prime: 16787

Next Prime: 16811

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 193

Divisors: 1, 3, 29, 87, 193, 579, 5597, 16791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000110010111

Octal: 40627

Duodecimal: 9873

Hexadecimal: 4197

Square: 281937681

Square Root: 129.58009106340373

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

Expansion of ∏_m>=1 (1 + m²*q^m). A92484

Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + (2^m+n-1 + 2^n-2*[n>=3])*x·p(x, n-2, m) and m=1, read by rows. A154985

G.f.: x²/((1-x²)²*∏_i>0(1-xⁱ)). A103650

Monotonic ordering of nonnegative differences 7ⁱ-2^j, for 40>=i>=0, j>=0. A192119

Monotonic ordering of nonnegative differences 7ⁱ-4^j, for 40>=i>=0, j>=0. A192166

Number of 5-fold spreads partitioning the lines in PG(2·n-1,4). A335176

Expansion of e.g.f. x*(2 - x)*exp(x/(1 - x))/(2*(1 - x)²). A323770

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 43. A31541

All differences C(j)-C(i), j>i, of Catalan numbers A000108. A47075

Numbers k such that the smoothly undulating palindromic number (78·10^k - 87)/99 is a prime. A62225