Properties of the Number 17093

Seventeen Thousand Ninety-Three

Basics

Value: 17092 → 17093 → 17094

Parity: odd

Prime: Yes

Previous Prime: 17077

Next Prime: 17099

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17093

Divisors: 1, 17093

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001011000101

Octal: 41305

Duodecimal: 9A85

Hexadecimal: 42c5

Square: 292170649

Square Root: 130.74020039758238

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

Primes of the form 2n²+14n+5. A154577

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 1,3,0,2,4 for x=0,1,2,3,4. A196322

Primes p such that p1=Floor[p/2]+p is prime and p2=Ceiling[p1/2]+p1 is prime. A158712

Partial sums of A294016. A294017

Number of generalized Young tableaux with constant rows, weakly increasing columns, and entries summing to n. A323582

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of parts of p. A241828

Primes arising in A053782. A53872

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 17 : primes in A146340. A146362

The first of three consecutive primes the sum of which is equal to the sum of three consecutive heptagonal numbers. A298302

Define b(n) by 1/sm(w) = ∑_{n >= 0} b(3·n-1)*w^3·n-1, where sm(w) is the elliptic function defined in A104133; a(n) = numerator of b(3·n-1). A335157