The number 3407
3407 is the 479th prime number. Its only divisors are 1 and 3407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3407: the 479th prime number.
- 2
3407 is prime, so its only factors are 1 and 3407. It is the 479th prime; the next prime is 3413 and the one before is 3391.
- 3
The divisors add up to 3408; without 3407 itself that is 1, so 3407 is deficient (1 is less than 3407). Euler's totient φ(3407) = 3406 numbers up to 3407 share no factor with it.
- 4
The digits of 3407 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
3407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3408 |
| Euler totient φ(n) | 3406 |
| Square | 11607649 |
| Cube | 39547260143 |
| Square root | 58.369513 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.407 × |
3407 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seven |
| Roman numerals | MMMCDVII |
| Binary (base 2) | 110101001111 |
| Octal (base 8) | 6517 |
| Hexadecimal (base 16) | D4F |
| Base 3 | 11200012 |
| As time | 3407 seconds = 56 min 47 s |
Is 3407 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3407 a prime number?
Yes. 3407 is divisible only by 1 and itself.
What are the factors of 3407?
1, 3407.
What is 3407 in binary?
110101001111 (hexadecimal D4F, octal 6517).
What is the square root of 3407?
About 58.3695.
What is 3407 in Roman numerals?
MMMCDVII.
Is 3407 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3407?
3407 is the 479th prime number.