Properties of the Number 35008

Thirty-Five Thousand Eight

Basics

Value: 35007 → 35008 → 35009

Parity: even

Prime: No

Previous Prime: 34981

Next Prime: 35023

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 547

Divisors: 1, 2, 4, 8, 16, 32, 64, 547, 1094, 2188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100011000000

Octal: 104300

Duodecimal: 18314

Hexadecimal: 88c0

Square: 1225560064

Square Root: 187.104249016424

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

a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-1)*a(1) for n >= 3. A25227

Square array A(n,k), n>=1, k>=1, read by antidiagonals, with A(1,k)=1 and sequence a_k of column k shifts left when Dirichlet convolution (DC:(b,b)->a) applied k times. A144324

a(n) = (6ⁿ - (-2)ⁿ)/8. A53524

a(n) = 2·a(n-1) - 6·a(n-2), a(0)=0, a(1)=1. A88139

a(n) = (3·6ⁿ + 2ⁿ)/4. A90040

a(n+1) = a(n)-th composite number, with a(1) = 11. A59407

G.f. A(x) satisfies: 2ⁿ + 1 = ∑_k=0..n [x^k] A(x)ⁿ for n>=1. A100238

Shifts left when Dirichlet convolution (DC:(b,b)->a) applied 3 times. A144317

Numbers that are palindromes in both ternary and balanced ternary representations with representations that are different. A354886

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(2·r+k,n)/(2·r+k) for k > 0. A378317