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The number 17071

17071 is a palindrome: it reads 17071 backwards too. Its prime factorisation is 43 × 397. Divisors (4): 1, 43, 397, 17071.

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How to work it out

  1. 1

    What is special about 17071: a palindrome: it reads 17071 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 397, the product of two primes.

  2. 2

    17071 is composite. Its prime factorisation is

    17071=43×39717071 = 43 \times 397
  3. 3

    The divisors add up to 17512; without 17071 itself that is 441, so 17071 is deficient (441 is less than 17071). Euler's totient φ(17071) = 16632 numbers up to 17071 share no factor with it.

  4. 4

    The digits of 17071 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.

LaTeX source of the formulas on this page
\[ 17071 = 43 \times 397 \]

17071 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors17512
Euler totient φ(n)16632
Square291419041
Cube4974814448911
Square root130.656037
Digit sum / digital root16 / 7
Collatz steps to 1172
Scientific notation1.7071 × 10410^{4}

17071 in other forms

FormValue
In wordsseventeen thousand and seventy-one
Binary (base 2)100001010101111
Octal (base 8)41257
Hexadecimal (base 16)42AF
Base 3212102021
As time17071 seconds = 4 h 44 min 31 s

Is 17071 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 17071 a prime number?

No. 17071 = 43 × 397, so it is divisible by 43.

What are the factors of 17071?

1, 43, 397, 17071.

What is 17071 in binary?

100001010101111 (hexadecimal 42AF, octal 41257).

What is the square root of 17071?

About 130.6560.

Is 17071 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 17071?

17071 is a palindrome: it reads 17071 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 397, the product of two primes.

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    17071: is it prime? Factors, square root, binary, Roman numeral | WordGPT