The number 17021
17021 is the 1962nd prime number. Its only divisors are 1 and 17021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17021: the 1962nd prime number.
- 2
17021 is prime, so its only factors are 1 and 17021. It is the 1962nd prime; the next prime is 17027 and the one before is 17011.
- 3
The divisors add up to 17022; without 17021 itself that is 1, so 17021 is deficient (1 is less than 17021). Euler's totient φ(17021) = 17020 numbers up to 17021 share no factor with it.
- 4
The digits of 17021 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 203 steps to reach 1.
17021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17022 |
| Euler totient φ(n) | 17020 |
| Square | 289714441 |
| Cube | 4931229500261 |
| Square root | 130.464555 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 203 |
| Scientific notation | 1.7021 × |
17021 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and twenty-one |
| Binary (base 2) | 100001001111101 |
| Octal (base 8) | 41175 |
| Hexadecimal (base 16) | 427D |
| Base 3 | 212100102 |
| As time | 17021 seconds = 4 h 43 min 41 s |
Is 17021 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 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17021 a prime number?
Yes. 17021 is divisible only by 1 and itself.
What are the factors of 17021?
1, 17021.
What is 17021 in binary?
100001001111101 (hexadecimal 427D, octal 41175).
What is the square root of 17021?
About 130.4646.
Is 17021 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 17021?
17021 is the 1962nd prime number.