Properties of the Number 17075

Seventeen Thousand Seventy-Five

Basics

Value: 17074 → 17075 → 17076

Parity: odd

Prime: No

Previous Prime: 17053

Next Prime: 17077

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 683

Divisors: 1, 5, 25, 683, 3415, 17075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001010110011

Octal: 41263

Duodecimal: 9A6B

Hexadecimal: 42b3

Square: 291555625

Square Root: 130.6713434537198

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

Partial sums of A299256. A299262

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240412

T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k·i and |p(i+1)-p(i)|<=k. A180906

Number of partitions p of n such that (maximal multiplicity of the parts of p) > (number of distinct parts of p). A240309

a(n) = ∑_k=1..n (k/gcd(n, k))². A332654

Number of solutions to rev(x²) = rev(x)² with n digits, where the rev(x) function reverses the digits of x. A98701

Number of pairs of primes p < q such that (p+q)/2 = A002110(n), the n-th primorial. A147517

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Number of positions that are exactly n moves from the starting position in the Bicube or Bandaged Rubik's Cube puzzle. A79771

a(n) = the number of values of k <= 10ⁿ such that sqrt(k*(k+1)*(k+2)*(k+3)+1) is prime. A115366