Properties of the Number -4572

Five Hundred Seventy-Two

Basics

Value: -4573 → -4572 → -4571

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 127

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1000111011100

Octal: -10734

Duodecimal: -2790

Hexadecimal: -11dc

Square: 20903184

Square Root: 67.61656601750786

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

Expansion of q * (f(q⁹) / f(q))³ in powers of q where f() is a Ramanujan θ function. A227454

Triangle read by rows, e.g.f. exp(x·z)/((exp(x/2)+exp(x·3/2))/((exp(3·x/2)+2·cos(sqrt(3)*x/2))/3)-1). A215065

e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2·k. A54979

Coreful perfect numbers: numbers k such that csigma(k) = 2·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A307958

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A222986

Earliest positive increasing sequence with no 5-term subsequence of constant third differences. A240557

Expansion of 1/(1 - ∑_k>=2 floor(1/ω(k))*x^k), where ω(k) is the number of distinct prime factors (A001221). A280195

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks at even height. A91869

a(0) = 0, a(1) = 1, and a(n) = ((2·n - 1)*a(n-1) + 3·n*a(n-2))/(n - 1) for n >= 2. A102839

Sum of the cubes of the parts in the partitions of n into two parts. A294270