The number 67411
67411 is a twin prime (67409 and 67411 are both prime) and the 6714th prime number. Its only divisors are 1 and 67411.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67411: a twin prime (67409 and 67411 are both prime); the 6714th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67411 is prime, so its only factors are 1 and 67411. It is the 6714th prime; the next prime is 67421 and the one before is 67409.
- 3
The divisors add up to 67412; without 67411 itself that is 1, so 67411 is deficient (1 is less than 67411). Euler's totient φ(67411) = 67410 numbers up to 67411 share no factor with it.
- 4
The digits of 67411 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 205 steps to reach 1.
67411 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67412 |
| Euler totient φ(n) | 67410 |
| Square | 4544242921 |
| Cube | 306331959547531 |
| Square root | 259.636284 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7411 × |
67411 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eleven |
| Binary (base 2) | 10000011101010011 |
| Octal (base 8) | 203523 |
| Hexadecimal (base 16) | 10753 |
| Base 3 | 10102110201 |
| As time | 67411 seconds = 18 h 43 min 31 s |
Is 67411 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 3) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67411 a prime number?
Yes. 67411 is divisible only by 1 and itself.
What are the factors of 67411?
1, 67411.
What is 67411 in binary?
10000011101010011 (hexadecimal 10753, octal 203523).
What is the square root of 67411?
About 259.6363.
Is 67411 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67411?
67411 is a twin prime (67409 and 67411 are both prime); the 6714th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.