Properties of the Number 35159

Thirty-Five Thousand One Hundred Fifty-Nine

Basics

Value: 35158 → 35159 → 35160

Parity: odd

Prime: Yes

Previous Prime: 35153

Next Prime: 35171

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 35159

Divisors: 1, 35159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100101010111

Octal: 104527

Duodecimal: 1841B

Hexadecimal: 8957

Square: 1236155281

Square Root: 187.50733318993153

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

Primes of form n² + n + 3. A27753

Sum of the heights of all lattice paths from (0,0) to (n,0) that do not go below the x-axis, and at (x,y) only allow steps (1,v) with v in {-1,0,1,...,y+1}. A333504

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = ∑_n>=1 xⁿ/n·exp( ∑_k>=1 σ(n·k)*x^n·k/k ). A203321

Primes p2 such that p1² + p2³ is an average of twin primes and p1 < p2 are consecutive primes. A138716

Primes p0 such that p0+p1+p2-+2 are primes; p0,p1,p2 are three consecutive primes. A158351

Primes of the form 2n³+7. A201110

Smallest prime of the set of five consecutive primes whose sum of digits is a set of five distinct primes. A106816

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^-s+Kronecker(m,p)*p^-2s)^-1 for m = -31. A35159

Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three no more than once. A269139

Number of nX4 0..3 arrays with some element plus some horizontally, antidiagonally or vertically adjacent neighbor totalling three exactly once. A269148