The number 97021
97021 is the 9340th prime number. Its only divisors are 1 and 97021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97021: the 9340th prime number.
- 2
97021 is prime, so its only factors are 1 and 97021. It is the 9340th prime; the next prime is 97039 and the one before is 97007.
- 3
The divisors add up to 97022; without 97021 itself that is 1, so 97021 is deficient (1 is less than 97021). Euler's totient φ(97021) = 97020 numbers up to 97021 share no factor with it.
- 4
The digits of 97021 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
97021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 97022 |
| Euler totient φ(n) | 97020 |
| Square | 9413074441 |
| Cube | 913265895340261 |
| Square root | 311.481942 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.7021 × |
97021 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and twenty-one |
| Binary (base 2) | 10111101011111101 |
| Octal (base 8) | 275375 |
| Hexadecimal (base 16) | 17AFD |
| Base 3 | 11221002101 |
| As time | 97021 seconds = 26 h 57 min 1 s |
Is 97021 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 | No (remainder 1) | 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 1) | 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 97021 a prime number?
Yes. 97021 is divisible only by 1 and itself.
What are the factors of 97021?
1, 97021.
What is 97021 in binary?
10111101011111101 (hexadecimal 17AFD, octal 275375).
What is the square root of 97021?
About 311.4819.
Is 97021 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 97021?
97021 is the 9340th prime number.