Properties of the Number 35109

Thirty-Five Thousand One Hundred Nine

Basics

Value: 35108 → 35109 → 35110

Parity: odd

Prime: No

Previous Prime: 35107

Next Prime: 35111

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 47 × 83

Divisors: 1, 3, 9, 47, 83, 141, 249, 423, 747, 3901

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100100100101

Octal: 104445

Duodecimal: 18399

Hexadecimal: 8925

Square: 1232641881

Square Root: 187.3739576355263

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, where T(n,k) equals the dot product of the vector of terms in row n that are to the right of T(n,k) with the vector of terms in column k that are above T(n,k): T(n,k) = ∑_j=0..n-k-1 T(n,j+k+1)*T(j+k,k) for n > k+1 > 0, with T(n,n) = 1 and T(n,n-1) = n (n>=1). A115080

Starting numbers for which the RATS sequence has eventual period 3. A114613

Column 2 of triangle A115080. A115083

a(n) = 2·n³ - 2·n + 9. A127989

Numbers k such that k³ +- 2 and k +- 2 are prime. A329727

Numerators in the expansion of the Dirichlet series ζ(s) * Product((1+p^-s) / (1-p^1-s)), p > 2. A35109

Table read by antidiagonals: T(b,n) is the number of n-step self avoiding walks on a 2D square grid confined inside an infinite well of width 2b where the walk starts at the middle of the well bottom. A336863