Properties of the Number -59049

Fifty-Nine Thousand Forty-Nine

Basics

Value: -59050 → -59049 → -59048

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ¹⁰

Divisors: 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1110011010101001

Octal: -163251

Duodecimal: -2A209

Hexadecimal: -e6a9

Square: 3486784401

Square Root: 243

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

Scaled Chebyshev U-polynomials evaluated at sqrt(3)/2; expansion of 1/(1 - 3·x + 3·x²). A57083

a(n) = ∑_{j=0..floor(n/3)} (-1)^j*binomial(n,3·j+1). A57682

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

An inverse Catalan transform of A003462. A106233

Triangle, read by rows, T(n,k) = (-1)^k*binomial(n, k)*3^n-k. A164942

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

a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), a(0)=a(1)=a(2)=1. A131292

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

a(n) = 3·a(n-2) for n > 2; a(1) = 3, a(2) = -1. A162852

a(n) = 4·a(n-1) - 7·a(n-2) + 6·a(n-3) - 3·a(n-4), starting with 0, 1, 2, 3. A134581