Properties of the Number -3072

Seventy-Two

Basics

Value: -3073 → -3072 → -3071

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ¹⁰ × 3

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -110000000000

Octal: -6000

Duodecimal: -1940

Hexadecimal: -c00

Square: 9437184

Square Root: 55.42562584220407

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

Expansion of elliptic modular function λ in powers of the nome q. A115977

Triangle read by rows: T(n, m) = S1(n, m)*8^n-m, where S1 are the signed Stirling numbers of first kind A008275 (n >= 1, 1 <= m <= n). A51187

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k*(1 - exp(x))). A292861

Triangle read by rows. T(n, k) = BellPolynomial(n, -k). A350263

Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!. A111838

McKay-Thompson series of class 10B for the Monster group with a(0) = -4. A132040

Triangle read by rows of coefficients in expansion of (3-2x)ⁿ, where n is a nonnegative integer. A303901

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁸ in powers of x. A1486

Expansion of (1+x)/(1 - 2·x + 2·x²). A90131

Expansion of q * φ(-q) * ψ(q⁸) / (φ(q) * φ(q⁴)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215349