The number 20017
20017 is a composite number with 4 divisors. Its prime factorisation is 37 × 541. Divisors (4): 1, 37, 541, 20017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20017: a semiprime: 37 × 541, the product of two primes.
- 2
20017 is composite. Its prime factorisation is
- 3
The divisors add up to 20596; without 20017 itself that is 579, so 20017 is deficient (579 is less than 20017). Euler's totient φ(20017) = 19440 numbers up to 20017 share no factor with it.
- 4
The digits of 20017 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 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20017 = 37 \times 541 \]
20017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20596 |
| Euler totient φ(n) | 19440 |
| Square | 400680289 |
| Cube | 8020417344913 |
| Square root | 141.481448 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 167 |
| Scientific notation | 2.0017 × |
20017 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and seventeen |
| Binary (base 2) | 100111000110001 |
| Octal (base 8) | 47061 |
| Hexadecimal (base 16) | 4E31 |
| Base 3 | 1000110101 |
| As time | 20017 seconds = 5 h 33 min 37 s |
Is 20017 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 2) | 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 | No (remainder 4) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 20017 a prime number?
No. 20017 = 37 × 541, so it is divisible by 37.
What are the factors of 20017?
1, 37, 541, 20017.
What is 20017 in binary?
100111000110001 (hexadecimal 4E31, octal 47061).
What is the square root of 20017?
About 141.4814.
Is 20017 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20017?
20017 is a semiprime: 37 × 541, the product of two primes.