The number 67021
67021 is the 6677th prime number. Its only divisors are 1 and 67021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67021: the 6677th prime number.
- 2
67021 is prime, so its only factors are 1 and 67021. It is the 6677th prime; the next prime is 67033 and the one before is 67003.
- 3
The divisors add up to 67022; without 67021 itself that is 1, so 67021 is deficient (1 is less than 67021). Euler's totient φ(67021) = 67020 numbers up to 67021 share no factor with it.
- 4
The digits of 67021 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
67021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67022 |
| Euler totient φ(n) | 67020 |
| Square | 4491814441 |
| Cube | 301045895650261 |
| Square root | 258.884144 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7021 × |
67021 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-one |
| Binary (base 2) | 10000010111001101 |
| Octal (base 8) | 202715 |
| Hexadecimal (base 16) | 105CD |
| Base 3 | 10101221021 |
| As time | 67021 seconds = 18 h 37 min 1 s |
Is 67021 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | 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 67021 a prime number?
Yes. 67021 is divisible only by 1 and itself.
What are the factors of 67021?
1, 67021.
What is 67021 in binary?
10000010111001101 (hexadecimal 105CD, octal 202715).
What is the square root of 67021?
About 258.8841.
Is 67021 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 67021?
67021 is the 6677th prime number.