Properties of the Number 35196

Thirty-Five Thousand One Hundred Ninety-Six

Basics

Value: 35195 → 35196 → 35197

Parity: even

Prime: No

Previous Prime: 35171

Next Prime: 35201

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 419

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000100101111100

Octal: 104574

Duodecimal: 18450

Hexadecimal: 897c

Square: 1238758416

Square Root: 187.60597005426027

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

G.f.: ∑_k>=0 x^k² * ∏_j=1..k ((1 + x^j)/(1 - x^j))². A376854

a(0) = a(1) = 1. a(n) = a(n-1) + a(n - b(n)), where b(n) is largest prime dividing n. A137809

Number of nonroot nodes of outdegree 2 in all hex trees with n edges. A126185

Number of 2 X n 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281206

Number of subsets of {2..n} such that the product of the elements is a perfect power. A339555

Triangle read by rows: number of idempotents of rank k in partial Brauer monoid PB_n. A256039

Numbers k such that (11·10^k - 113) / 3 is prime. A280557

Take apart the sides of each of the integer-sided scalene triangles with perimeter n (at their vertices) and rearrange them orthogonally in 3-space so that their endpoints coincide at a single point. a(n) is the total volume of all rectangular prisms enclosed in this way. A308234

Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + ∑_j=0..k A(n-1,j)*A(k-j,0) with A(0,k) = 1. A392095

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^-s+Kronecker(m,p)*p^-2s)^-1 for m = 14. A35196