Properties of the Number 19791

Nineteen Thousand Seven Hundred Ninety-One

Basics

Value: 19790 → 19791 → 19792

Parity: odd

Prime: No

Previous Prime: 19777

Next Prime: 19793

Digit Sum: 27

Digital Root: 9

Palindrome: Yes

Factorization: 3 ³ × 733

Divisors: 1, 3, 9, 27, 733, 2199, 6597, 19791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110101001111

Octal: 46517

Duodecimal: B553

Hexadecimal: 4d4f

Square: 391683681

Square Root: 140.68048905232027

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

Palindromic and divisible by 9. A45644

a(n) = (binomial(2n, n) - 2) mod n³. A246133

Expansion of g²/(1 - x²*g⁴), where g = 1+x·g⁴ is the g.f. of A002293. A391082

Cubeful (i.e., not cubefree) palindromes. A35133

Palindromes divisible by their digit sum. A82232

a(n) = n*(n²+4). A155965

Expansion of ∏_k>=1 (1 + x^2·k-1)^2·k-1/(1 + x^2·k)^2·k. A284467

Numbers n such that (22ⁿ+1)²-2 is prime. A100908

a(n) = ∑_k=1..n (-1)^k+1 * floor((n/k)³). A350222

Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A298315