Properties of the Number 19764

Nineteen Thousand Seven Hundred Sixty-Four

Basics

Value: 19763 → 19764 → 19765

Parity: even

Prime: No

Previous Prime: 19763

Next Prime: 19777

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 61

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110100110100

Octal: 46464

Duodecimal: B530

Hexadecimal: 4d34

Square: 390615696

Square Root: 140.5844941663198

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

Solution to the Dancing School Problem with 3 girls and n+3 boys: f(3,n). A79908

Number of ways to place 3 nonattacking queens on a 3 X n board. A61989

T(n,k) = number of defective 3-colorings of an n X k 0..2 array connected horizontally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..2 order. A229586

Sums of 2 distinct powers of 3. A38464

a(1) = 2, a(2) = 4, a(3) = 6; for n > 3, a(n) = 3·a(n-1) - 3·a(n-2) + 9·a(n-3). A318609

a(1) = 0, a(2) = 4, a(3) = 12; for n > 3, a(n) = 3·a(n-1) - 3·a(n-2) + 9·a(n-3). A318610

Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2·x)*(1 - 2·x*(1 - x))^{n + 1}*Li(-n, 2·x*(1 - x)), where Li(n, z) is the polylogarithm. A142147

a(n) = n⁴*sigma₅(n). A386785

a(n) = T(n,n-6), array T as in A055807. A55811

Floor((n+1/n)³). A197602