Properties of the Number -3680

Six Hundred Eighty

Basics

Value: -3681 → -3680 → -3679

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 23

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111001100000

Octal: -7140

Duodecimal: -2168

Hexadecimal: -e60

Square: 13542400

Square Root: 60.663003552412405

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

Coefficient of x³ⁿ/(3n)! in the Maclaurin expansion of the Dixon elliptic function cm(x,0). A104134

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{3i+j-3,i+3j-3} (A204008). A204011

G.f.: (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) * (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))), a continued fraction. A285638

a(n) = 4ⁿ - n⁵. A24041

∑_k=1..2n-1 J(4·n,k)*k², where J(i,j) is the Jacobi symbol. A97544

Expansion of e.g.f. cos(x)/cosh(tan(x)), even powers only. A9110

∑_k=1..n-1 J(2·n,k)*k², where J(i,j) is the Jacobi symbol. A97543

Triangle of coefficients of the Pascal sum of A053120 Chebyshev's T(n, x) polynomials :p(x,n)=2·x*p(x,n-1)-p(x,n-2); pp(x,n)=Sum[Binomial[n,m]*p(x,m),{m,0,n}]. A136663

Numerator of Hermite(n, 8/9). A159245

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 155", based on the 5-celled von Neumann neighborhood. A270328