Properties of the Number 17682

Seventeen Thousand Six Hundred Eighty-Two

Basics

Value: 17681 → 17682 → 17683

Parity: even

Prime: No

Previous Prime: 17681

Next Prime: 17683

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 421

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 421, 842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010100010010

Octal: 42422

Duodecimal: A296

Hexadecimal: 4512

Square: 312653124

Square Root: 132.9736816065495

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) = 10·n²+n. A55437

E.g.f. satisfies A(x) = 1 + x²*A(x)²*(exp(x·A(x)) - 1). A371139

Numbers k such that in a rotated-square spiral with positive integers (A215468) among k's eight nearest neighbors five or more are primes. A215471

Expansion of e.g.f. exp(-1 + ∏_k>=1 (1 + x^k/k)). A308338

Numbers n such that n² + 1 is divisible by a 5th power. A218564

Numbers such that the sum of the factorials of the digits of the fifth power is a square. A126078

a(n) = 49·n² - 7. A158484

Averages k of twin primes such that the sum (with multiplicity) of prime factors of k-1, k and k+1 is prime. A340060

Triangle read by rows: T(n,k) is the number of permutations of k elements from [1..n] with longest consecutive chain size less than 3. A340106

Number of words of length n composed of the letters a, b, and c with at least as many a's as b's, and at least as many b's as c's, and no a's adjacent. A174247