Properties of the Number 35226

Thirty-Five Thousand Two Hundred Twenty-Six

Basics

Value: 35225 → 35226 → 35227

Parity: even

Prime: No

Previous Prime: 35221

Next Prime: 35227

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 19 × 103

Divisors: 1, 2, 3, 6, 9, 18, 19, 38, 57, 103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100110011010

Octal: 104632

Duodecimal: 18476

Hexadecimal: 899a

Square: 1240871076

Square Root: 187.68590783540463

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

Irregular table read by rows: T(n,k) = number of k-gons, k >= 3, formed inside a triangle with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,m)/A006843(n,m), m = 1..A005728(n). A358951

a(n) = n! * ∑_k=0..n binomial(n+(n-1)*k,n·k)/k!. A361607

Values of y arising from representations of n >= 11 in A085514. A102775

Number of n X 6 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280552

Expansion of ∑_n>=1 x^n²*((1+x)/(1-x))ⁿ. A369424

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A280554

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n binomial(n+(k-1)*j,k·j)/j!. A361600

Coefficients in expansion of Dirichlet series Product_p (1-(Kronecker(m,p)+1)*p^-s + Kronecker(m,p)*p^-2s)^-1 for m = 44. A35226