Properties of the Number 17297

Seventeen Thousand Two Hundred Ninety-Seven

Basics

Value: 17296 → 17297 → 17298

Parity: odd

Prime: No

Previous Prime: 17293

Next Prime: 17299

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 353

Divisors: 1, 7, 49, 353, 2471, 17297

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001110010001

Octal: 41621

Duodecimal: A015

Hexadecimal: 4391

Square: 299186209

Square Root: 131.51805959639154

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

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (x^k - n·R(n,x))^k = 1 - (n-2)*∑_k>=1 x^k², for n >= 1, as read by antidiagonals. A370030

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (xⁿ - 4·A(x))ⁿ = 1 - 2*∑_n>=1 x^n². A370034

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A240046

a(n) = (3 + 2·n + 6·n² + 4·n³)/3. A166464

Triangle read by rows: T(n,k) is the number of simple connected graphs on n nodes with k center nodes. A294525

Number of integer partitions of n that contain at least one even part and whose halved even parts are relatively prime. A366845

Number of simple unlabeled n-node graphs with 3 center nodes. A52439

a(n) = 18·n² - 1. A157910

First number in the n-th row of A172002. A168388

a(n) = ∑_{1<=k<=n, gcd(k,n)=1}, A000217(k). A127415