The number 67421
67421 is the 6715th prime number. Its only divisors are 1 and 67421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67421: the 6715th prime number.
- 2
67421 is prime, so its only factors are 1 and 67421. It is the 6715th prime; the next prime is 67427 and the one before is 67411.
- 3
The divisors add up to 67422; without 67421 itself that is 1, so 67421 is deficient (1 is less than 67421). Euler's totient φ(67421) = 67420 numbers up to 67421 share no factor with it.
- 4
The digits of 67421 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
67421 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67422 |
| Euler totient φ(n) | 67420 |
| Square | 4545591241 |
| Cube | 306468307059461 |
| Square root | 259.655541 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7421 × |
67421 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twenty-one |
| Binary (base 2) | 10000011101011101 |
| Octal (base 8) | 203535 |
| Hexadecimal (base 16) | 1075D |
| Base 3 | 10102111002 |
| As time | 67421 seconds = 18 h 43 min 41 s |
Is 67421 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 2) | 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 67421 a prime number?
Yes. 67421 is divisible only by 1 and itself.
What are the factors of 67421?
1, 67421.
What is 67421 in binary?
10000011101011101 (hexadecimal 1075D, octal 203535).
What is the square root of 67421?
About 259.6555.
Is 67421 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67421?
67421 is the 6715th prime number.