The number 5407
5407 is the 713th prime number. Its only divisors are 1 and 5407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5407: the 713th prime number.
- 2
5407 is prime, so its only factors are 1 and 5407. It is the 713th prime; the next prime is 5413 and the one before is 5399.
- 3
The divisors add up to 5408; without 5407 itself that is 1, so 5407 is deficient (1 is less than 5407). Euler's totient φ(5407) = 5406 numbers up to 5407 share no factor with it.
- 4
The digits of 5407 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 67 steps to reach 1.
5407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5408 |
| Euler totient φ(n) | 5406 |
| Square | 29235649 |
| Cube | 158077154143 |
| Square root | 73.532306 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.407 × |
5407 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and seven |
| Binary (base 2) | 1010100011111 |
| Octal (base 8) | 12437 |
| Hexadecimal (base 16) | 151F |
| Base 3 | 21102021 |
| As time | 5407 seconds = 1 h 30 min 7 s |
Is 5407 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 2) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 5407 a prime number?
Yes. 5407 is divisible only by 1 and itself.
What are the factors of 5407?
1, 5407.
What is 5407 in binary?
1010100011111 (hexadecimal 151F, octal 12437).
What is the square root of 5407?
About 73.5323.
Is 5407 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5407?
5407 is the 713th prime number.