Properties of the Number 17189

Seventeen Thousand One Hundred Eighty-Nine

Basics

Value: 17188 → 17189 → 17190

Parity: odd

Prime: Yes

Previous Prime: 17183

Next Prime: 17191

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17189

Divisors: 1, 17189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001100100101

Octal: 41445

Duodecimal: 9B45

Hexadecimal: 4325

Square: 295461721

Square Root: 131.10682667199293

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

a(n) = ∑_m=1..n ∑_k=1..m prime(k). A14148

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302460

"Secondary twin primes": a(n) = A006450(A096477(n)). A96479

a(0) = 1; a(n) = ∑_k=0..n-1 (1 + k) * (1 + k³) * binomial(n-1,k) * a(k) * a(n-1-k). A385940

Primes q = 4·p+1, where p == 2 (mod 5) is also prime. A221981

Primes p such that p+2 and p³+2 are also prime. A240110

Primes of the form Sum[ Sum[ Prime[k], {k,1,m} ], {m,1,n} ] = A014148[n]. A122382

a(n) = ∑_k=0..n 3^n-k * binomial(n,k) * binomial(n+3,k). A388410

Primes p for which p² + p - 1 = q·r (q<r) such that q, r, p² + q - 1 and p² + r - 1 are primes. A227276

Suppose p and q = p+20 are primes. Define the difference pattern of (p,q) to be the successive differences of the primes in the range p to q. There are 56 possible difference patterns, shown in the Comments line. Sequence gives smallest value of p for each difference pattern, sorted by magnitude. A79020