Properties of the Number -867

Eight Hundred Sixty-Seven

Basics

Value: -868 → -867 → -866

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 17 ²

Divisors: 1, 3, 17, 51, 289, 867

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1101100011

Octal: -1543

Duodecimal: -603

Hexadecimal: -363

Square: 751689

Square Root: 29.444863728670914

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

a(1) = 1, a(2) = 3; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361986

G.f. satisfies A(x) = exp( ∑_k>=1 A(x^k) * x^k/(k * (1 + 3·x^k)) ). A363581

Discriminant of the pure cubic field Q(m^1/3), where m = A004709(n) is the n-th cubefree number. A242867

Triangle, read by rows, T(n, k) = ∑_j=0..k (-1)^j*(k-j+1)ⁿ*binomial(n+1, j) *binomial(n+2, j)/(j+1). A176124

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 233", based on the 5-celled von Neumann neighborhood. A270979

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 358", based on the 5-celled von Neumann neighborhood. A271413

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 453", based on the 5-celled von Neumann neighborhood. A272276

Triangle read by rows: first define the Narayana numbers: Y(n,m)=Binomial[n, m]*Binomial[n + 1, m + 1]/(n - m + 1); then t(n,m)=Sum[(-1)^j *Y(n + 1, j)*(k + 1 - j)ⁿ, {j, 0, k + 1}]. A155796

A signed variant of A309132. A326582

Expansion of 1 / (1 + ∑_{p prime, k>=1} x^{p^k}). A329098