Properties of the Number 17268

Seventeen Thousand Two Hundred Sixty-Eight

Basics

Value: 17267 → 17268 → 17269

Parity: even

Prime: No

Previous Prime: 17257

Next Prime: 17291

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1439

Divisors: 1, 2, 3, 4, 6, 12, 1439, 2878, 4317, 5756

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001101110100

Octal: 41564

Duodecimal: 9BB0

Hexadecimal: 4374

Square: 298183824

Square Root: 131.40776232780163

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

Number of GL-racks of order n, up to isomorphism. A383145

Least k such that there are exactly A003586(n) ways to choose a binary index of each binary index of k. A368111

Sorted positions of first appearances in A368109 (number of ways to choose a binary index of each binary index). A368112

a(n) = p(n)*p(n+2)-p(n+1), where p(n) is the n-th prime. A152530

Fixed points of permutation A071661/A071662. A126312

Expansion of ∏_k=1..16 theta₃(q^k), where theta₃() is the Jacobi θ function. A320247

Values of n such that n^a-+a are primes, a=5. A155021

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

Unique sequence that begins with nine zeros and a 1 and has the properties that each leading term of the difference triangle is single-digit, and the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence. A125591

a(n) = (9·n + 8)¹². A17268