Properties of the Number 728

Seven Hundred Twenty-Eight

Basics

Value: 727 → 728 → 729

Parity: even

Prime: No

Previous Prime: 727

Next Prime: 733

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 7 × 13

Divisors: 1, 2, 4, 7, 8, 13, 14, 26, 28, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1011011000

Octal: 1330

Duodecimal: 508

Hexadecimal: 2d8

Square: 529984

Square Root: 26.981475126464083

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) = 6·n² + 2 for n > 0, a(0)=1. A5897

List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's. A14486

a(n) = n*(n+2) = (n+1)² - 1. A5563

Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

Number of connected labeled graphs with n nodes. A1187

a(n) = binomial(3·n+1,n)/(n+1). A6013

Numbers that are the sum of 2 positive cubes. A3325

a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n. A6918

Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity). A6753

a(n) = 3ⁿ - 1. A24023