Properties of the Number 17311

Seventeen Thousand Three Hundred Eleven

Basics

Value: 17310 → 17311 → 17312

Parity: odd

Prime: No

Previous Prime: 17299

Next Prime: 17317

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 2473

Divisors: 1, 7, 2473, 17311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100001110011111

Octal: 41637

Duodecimal: A027

Hexadecimal: 439f

Square: 299670721

Square Root: 131.57127346043285

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

Relative of Hofstadter Q-sequence: a(n) = max(0, n+4315) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A373237

A positive integer n is included if n, when written in binary, is made of run-lengths (lengths of runs of 0's as well as of runs of 1's) that form a permutation of some number of consecutive positive integers starting with 1. A175061

a(n) = 49·n² - 20·n + 2. A157373

Number of partitions p of n such that (number of numbers in p of form 3k+1) = (number of numbers in p of form 3k+2). A241738

G.f.: exp( ∑_n>=1 A322187(n)*xⁿ/n ), where A322187(n) is the coefficient of xⁿ*yⁿ/n in log( ∏_n>=1 1/(1 - x^2·n-1 - y^2·n-1) ). A322188

Number of A080115-primes in range [2ⁿ,2ⁿ⁺¹]. A95095

a(n) = floor(log(Fibonacci(prime(k))/prime(k))), where k = A119984(n). A134791

a(n) = number of triples (a,b,c) of natural numbers a,b,c <= n with gcd(a,b)=gcd(b,c)=gcd(c,a)=1. A256390

Start with 1 and repeatedly reverse the digits and add 42 to get the next term. A118075

a(n) is the coefficient of xⁿ*yⁿ/n in log( ∏_n>=1 1/(1 - x^2·n-1 - y^2·n-1) ), for n >= 1. A322187