Properties of the Number -2072

Seventy-Two

Basics

Value: -2073 → -2072 → -2071

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 7 × 37

Divisors: 1, 2, 4, 7, 8, 14, 28, 37, 56, 74

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100000011000

Octal: -4030

Duodecimal: -1248

Hexadecimal: -818

Square: 4293184

Square Root: 45.51922670696417

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

E.g.f. log(1+x)*cos(x). A9410

Expansion of e.g.f.: log(1+x)/cosh(x). A9435

Expansion of (∏_j>=1 (1-(-x)^j) - 1)⁷ in powers of x. A1485

Expansion of theta₄/theta₃ in powers of q. A189925

Riordan array (1/(1+2·x), x*(1+x)/(1+2·x)²). A123876

Expansion of (φ(-q) / φ(q²))² in powers of q where φ() is a Ramanujan θ function. A210067

Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = ∏_j=1..n-1 ((q^j+1 - 1)/(q-1)) and q = 3. A172092

The (n+1)-th term of the n-th differences of the prime sequence. A229061

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood. A271155

a(n) = ∑_k=0..n (-1)^{n - k} * binomial(n, k) * binomial(n + k - 1, n - k). A350290