Properties of the Number 12728

Twelve Thousand Seven Hundred Twenty-Eight

Basics

Value: 12727 → 12728 → 12729

Parity: even

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 37 × 43

Divisors: 1, 2, 4, 8, 37, 43, 74, 86, 148, 172

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000110111000

Octal: 30670

Duodecimal: 7448

Hexadecimal: 31b8

Square: 162001984

Square Root: 112.81843820936363

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

a(n) = (A114043(n) - 1)/2. A115005

Number of diagonal rectangles with corners on an n X n grid of points. A113751

Number of partitions of n such that (greatest part) + (least part) > number of parts. A237871

Rounded volume of a regular octahedron with edge length n. A71400

Expansion of (φ(-x) / φ(-x³))² in powers of·where φ() is a Ramanujan θ function. A217771

a(n) = n*(19·n-15)/2. A226490

a(n) = ∑_j=1..n ∑_k=1..n φ(j·k) / φ(k). A372636

Sum of squares of parts of the partitions of 2n into two squarefree parts. A280316

a(n) = ∑_{k=0..floor(2·n/9)} binomial(2·n-7·k,2·k). A392399

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones. A31779