Properties of the Number -729

Seven Hundred Twenty-Nine

Basics

Value: -730 → -729 → -728

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁶

Divisors: 1, 3, 9, 27, 81, 243, 729

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011011001

Octal: -1331

Duodecimal: -509

Hexadecimal: -2d9

Square: 531441

Square Root: 27

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

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 2ⁿ-1 as Sum(k=0..n)T(n,k)*binomial(n,k). A244124

Product of all divisors of n, positive or negative. A217854

Matrix log of triangle A078122, which shifts columns left and up under matrix cube; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111815

Dirichlet g.f.: 1 / ζ(s)⁹. A341835

Dirichlet inverse of A133494, 3^n-1. A349453

a(n) = A325978(A228058(n)). A389218

Expansion of (1+2·x)/(1+3·x+3·x²). A123877

Sequence is identical to its third differences in absolute value: a(0), a(1), a(2), a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), with a(0)=a(1)=0, a(2)=1. A131665

Triangle T(n,k) read by rows: T(n,n) = -1, T(n,0) = 3^{n - 1}, T(n,k) = -3^{n - k - 1}, 1 <= k <= n - 1. A152570

Triangle, T(n, k, q) = e(n, k, q), where e(n, k, q) = ((1 - (-q)^k)/(1+q))*e(n-1, k, q) + (-q)^k-1*e(n-1, k-1, q), e(n, 0, q) = e(n, n, q) = 1, and q = 2, read by rows. A156535