The number 20170
20170 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 2017. Divisors (8): 1, 2, 5, 10, 2017, 4034, 10085, 20170.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20170: a Harshad number: divisible by its digit sum 10.
- 2
20170 is composite. Its prime factorisation is
- 3
The divisors add up to 36324; without 20170 itself that is 16154, so 20170 is deficient (16154 is less than 20170). Euler's totient φ(20170) = 8064 numbers up to 20170 share no factor with it.
- 4
The digits of 20170 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20170 = 2 \times 5 \times 2017 \]
20170 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36324 |
| Euler totient φ(n) | 8064 |
| Square | 406828900 |
| Cube | 8205738913000 |
| Square root | 142.021125 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.017 × |
20170 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and seventy |
| Binary (base 2) | 100111011001010 |
| Octal (base 8) | 47312 |
| Hexadecimal (base 16) | 4ECA |
| Base 3 | 1000200001 |
| As time | 20170 seconds = 5 h 36 min 10 s |
Is 20170 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20170 ÷ 2 = 10085) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20170 ÷ 5 = 4034) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 | Yes (20170 ÷ 10 = 2017) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20170 a prime number?
No. 20170 = 2 × 5 × 2017, so it is divisible by 2.
What are the factors of 20170?
1, 2, 5, 10, 2017, 4034, 10085, 20170.
What is 20170 in binary?
100111011001010 (hexadecimal 4ECA, octal 47312).
What is the square root of 20170?
About 142.0211.
Is 20170 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20170?
20170 is a Harshad number: divisible by its digit sum 10.