Properties of the Number 13728

Thirteen Thousand Seven Hundred Twenty-Eight

Basics

Value: 13727 → 13728 → 13729

Parity: even

Prime: No

Previous Prime: 13723

Next Prime: 13729

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 11 × 13

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110100000

Octal: 32640

Duodecimal: 7B40

Hexadecimal: 35a0

Square: 188457984

Square Root: 117.16654812701448

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

Coefficient triangle of certain polynomials N(5; m,x). A62190

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Intermediate edge b of smallest (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31174

Partial sums of ceiling(n²/2) (A000982). A131941

Numbers k such that σ(x) = k has exactly 10 solutions. A60666

Structured hexagonal diamond numbers (vertex structure 5). A100178

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, and new values 0..1 introduced in row major order. A205264

Dimensions of the irreducible representations of the simple Lie algebra of type D4 over the complex numbers, listed in increasing order. A121739

Sixth partial sums of cubes (A000578). A254469

a(n) = (n+1)*binomial(n+6,6). A27818