Properties of the Number 19688

Nineteen Thousand Six Hundred Eighty-Eight

Basics

Value: 19687 → 19688 → 19689

Parity: even

Prime: No

Previous Prime: 19687

Next Prime: 19697

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 23 × 107

Divisors: 1, 2, 4, 8, 23, 46, 92, 107, 184, 214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100110011101000

Octal: 46350

Duodecimal: B488

Hexadecimal: 4ce8

Square: 387617344

Square Root: 140.31393373432306

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

Numbers that are the sum of 6 positive 9th powers. A3395

Numbers k such that σ(k+2) = σ(k). A7373

Number of ways to place 4 nonattacking queens on a 4 X n board. A61990

Numbers that are the sum of 8 nonzero 8th powers. A3386

T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors. A206188

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors exactly one smaller than itself. A266025

a(n) = 3ⁿ + 5. A168610

a(n) = n³ + 5. A84381

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n j·floor(n/j)^k. A350106

Transform of the finite sequence (1, 0, -1) by the T_1,1 transformation (see link). A159329