Properties of the Number 1728

One Thousand Seven Hundred Twenty-Eight

Basics

Value: 1727 → 1728 → 1729

Parity: even

Prime: No

Previous Prime: 1723

Next Prime: 1733

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000000

Octal: 3300

Duodecimal: 1000

Hexadecimal: 6c0

Square: 2985984

Square Root: 41.569219381653056

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

The cubes: a(n) = n³. A578

Perfect powers: m^k where m > 0 and k >= 2. A1597

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

Product of divisors of n. A7955

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29470

3-full (or cube-full, or cubefull) numbers: if a prime p divides n then so does p³. A36966

Coefficients in expansion of Eisenstein series E₂ (also called E₁ or G₂). A6352

Jordan function J₂(n) (a generalization of φ(n)). A7434