Properties of the Number -1728

Seven Hundred Twenty-Eight

Basics

Value: -1729 → -1728 → -1727

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

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

Today's Target

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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

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

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 1 as ∑_k=0..n T(n,k)*binomial(n,k). A244116

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k)*binomial(n,k). A244132

McKay-Thompson series of class 16B for the Monster group. A29839

Coefficients in expansion of E₆²/E₄³. A289210

Determinant of Hankel matrix of the first 2n-1 prime numbers. A24356

McKay-Thompson series of class 16d for the Monster group. A82304

Coefficients of Hilbert class polynomial H_D(x) as D runs through the numbers -3, -4, -7, -8, -11, -12, ... . A305474

Constant of Hilbert class polynomial H_D(x) as D runs through the numbers -3, -4, -7, -8, -11, -12, ... . A305475

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-1, 2j-1) (A204022). A204023