Properties of the Number -42865

Forty-Two Thousand Eight Hundred Sixty-Five

Basics

Value: -42866 → -42865 → -42864

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 8573

Divisors: 1, 5, 8573, 42865

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1010011101110001

Octal: -123561

Duodecimal: -20981

Hexadecimal: -a771

Square: 1837408225

Square Root: 207.03864373589778

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

Triangle read by rows, related to number of permutations of [n] with 0 successions and k rises. A46739

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)⁴*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181144

Triangle read by rows, T(n,k) = ∑_j=0..n C(-j-1,-n-1)*E1(j,k), E1 the Eulerian numbers A173018, for n>=0 and 0<=k<=n. A271697

Third diagonal of triangle in A046739. A70315

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, -1, 1)}. A148153

Triangle read by rows: expansion of e.g.f. (1 - x)/(exp(t)*(1 - x·exp(t*(1 - x)))). A168423