Properties of the Number 17168

Seventeen Thousand One Hundred Sixty-Eight

Basics

Value: 17167 → 17168 → 17169

Parity: even

Prime: No

Previous Prime: 17167

Next Prime: 17183

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 29 × 37

Divisors: 1, 2, 4, 8, 16, 29, 37, 58, 74, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100010000

Octal: 41420

Duodecimal: 9B28

Hexadecimal: 4310

Square: 294740224

Square Root: 131.0267148332736

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 alternating compositions, i.e., compositions with alternating increases and decreases, starting with either an increase or a decrease. A25047

Number of partitions p of n such that (number of distinct parts of p) <= max(p) - min(p). A239955

Number of symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane). A784

Number of compositions of n avoiding any 3-term arithmetic progression. A238569

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y| = w + |y-z|. A212683

a(n) = ∑_j=1..n A003718(j-1)*prime(j). A342604

Even numbers n such that 37² (the square of the first irregular prime) divides the numerator of Bernoulli(n). A90789

a(n) = n³ mod (n-th prime squared). A167623

Numbers k such that A360119(k) > 1, but which have no divisors d > 1 such that d+1 is also a divisor. A360129

Consider all sublists of [(2,1),(3,2,1),(4,3,2,1),...,(n,...,4,3,2,1)] and multiply these permutations in that order. How many of the products are n-cycles? A68330