The number 47407
47407 is the 4888th prime number. Its only divisors are 1 and 47407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47407: the 4888th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47407 is prime, so its only factors are 1 and 47407. It is the 4888th prime; the next prime is 47417 and the one before is 47389.
- 3
The divisors add up to 47408; without 47407 itself that is 1, so 47407 is deficient (1 is less than 47407). Euler's totient φ(47407) = 47406 numbers up to 47407 share no factor with it.
- 4
The digits of 47407 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
47407 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47408 |
| Euler totient φ(n) | 47406 |
| Square | 2247423649 |
| Cube | 106543612928143 |
| Square root | 217.731486 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7407 × |
47407 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and seven |
| Binary (base 2) | 1011100100101111 |
| Octal (base 8) | 134457 |
| Hexadecimal (base 16) | B92F |
| Base 3 | 2102000211 |
| As time | 47407 seconds = 13 h 10 min 7 s |
Is 47407 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 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47407 a prime number?
Yes. 47407 is divisible only by 1 and itself.
What are the factors of 47407?
1, 47407.
What is 47407 in binary?
1011100100101111 (hexadecimal B92F, octal 134457).
What is the square root of 47407?
About 217.7315.
Is 47407 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47407?
47407 is the 4888th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.