The number 17101
17101 is a composite number with 6 divisors. Its prime factorisation is Ć 349. Divisors (6): 1, 7, 49, 349, 2443, 17101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17101 is composite. Its prime factorisation is
- 3
The divisors add up to 19950; without 17101 itself that is 2849, so 17101 is deficient (2849 is less than 17101). Euler's totient Ļ(17101) = 14616 numbers up to 17101 share no factor with it.
- 4
The digits of 17101 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17101 = 7^{2} \times 349 \]17101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19950 |
| Euler totient Ļ(n) | 14616 |
| Square | 292444201 |
| Cube | 5001088281301 |
| Square root | 130.770792 (= 7ā349) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.7101 Ć |
17101 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and one |
| Binary (base 2) | 100001011001101 |
| Octal (base 8) | 41315 |
| Hexadecimal (base 16) | 42CD |
| Base 3 | 212110101 |
| As time | 17101 seconds = 4 h 45 min 1 s |
Is 17101 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17101 Ć· 7 = 2443) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17101 a prime number?
No. 17101 = Ć 349, so it is divisible by 7.
What are the factors of 17101?
1, 7, 49, 349, 2443, 17101.
What is 17101 in binary?
100001011001101 (hexadecimal 42CD, octal 41315).
What is the square root of 17101?
About 130.7708, exactly 7ā349.
Is 17101 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 17101?
It is a composite number with 6 divisors.