Properties of the Number 42865

Forty-Two Thousand Eight Hundred Sixty-Five

Basics

Value: 42864 → 42865 → 42866

Parity: odd

Prime: No

Previous Prime: 42863

Next Prime: 42899

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

Today's Target

2196 Try Today's Challenge

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

Numerators of logarithmic numbers (also of Gregory coefficients G(n)). A2206

Denominators of logarithmic numbers (also of Gregory coefficients G(n)). A2207

Numerators of coefficients for numerical integration. A2208

Denominators of continued fraction convergents to sqrt(964). A42865