The number 67409
67409 is a twin prime (67409 and 67411 are both prime) and the 6713th prime number. Its only divisors are 1 and 67409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67409: a twin prime (67409 and 67411 are both prime); the 6713th prime number.
- 2
67409 is prime, so its only factors are 1 and 67409. It is the 6713th prime; the next prime is 67411 and the one before is 67399.
- 3
The divisors add up to 67410; without 67409 itself that is 1, so 67409 is deficient (1 is less than 67409). Euler's totient φ(67409) = 67408 numbers up to 67409 share no factor with it.
- 4
The digits of 67409 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
67409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67410 |
| Euler totient φ(n) | 67408 |
| Square | 4543973281 |
| Cube | 306304694898929 |
| Square root | 259.632432 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7409 × |
67409 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and nine |
| Binary (base 2) | 10000011101010001 |
| Octal (base 8) | 203521 |
| Hexadecimal (base 16) | 10751 |
| Base 3 | 10102110122 |
| As time | 67409 seconds = 18 h 43 min 29 s |
Is 67409 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 4) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67409 a prime number?
Yes. 67409 is divisible only by 1 and itself.
What are the factors of 67409?
1, 67409.
What is 67409 in binary?
10000011101010001 (hexadecimal 10751, octal 203521).
What is the square root of 67409?
About 259.6324.
Is 67409 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67409?
67409 is a twin prime (67409 and 67411 are both prime); the 6713th prime number.