Properties of the Number 17717

Seventeen Thousand Seven Hundred Seventeen

Basics

Value: 17716 → 17717 → 17718

Parity: odd

Prime: No

Previous Prime: 17713

Next Prime: 17729

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 2531

Divisors: 1, 7, 2531, 17717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100110101

Octal: 42465

Duodecimal: A305

Hexadecimal: 4535

Square: 313892089

Square Root: 133.1052215354454

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

Numbers using only digits 1 and 7. A276039

Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 7 sites wide. A58366

G.f.: (1 + x⁴ + x⁷ + 2·x⁸ + x⁹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A3405

a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range. A165599

Number of toothpicks after n stages of 3-D toothpick structure defined in Comments. A170876

a(n) = ∑_{k=0..floor(n/8)} binomial(n-4·k,4·k). A348289

Average of terms in n-th row of A077529. A77532

a(n) = (n-1)*a(n-1) - a(n-4) with a(0)=0, a(1)=1, a(2)=2, a(3)=1. A122050

One fifth of the sum of the first n primes, when an integer. A112271

p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - S⁴. A291379