The number 49627
49627 is the 5097th prime number. Its only divisors are 1 and 49627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49627: the 5097th prime number.
- 2
49627 is prime, so its only factors are 1 and 49627. It is the 5097th prime; the next prime is 49633 and the one before is 49613.
- 3
The divisors add up to 49628; without 49627 itself that is 1, so 49627 is deficient (1 is less than 49627). Euler's totient φ(49627) = 49626 numbers up to 49627 share no factor with it.
- 4
The digits of 49627 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
49627 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49628 |
| Euler totient φ(n) | 49626 |
| Square | 2462839129 |
| Cube | 122223317454883 |
| Square root | 222.771183 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9627 × |
49627 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and twenty-seven |
| Binary (base 2) | 1100000111011011 |
| Octal (base 8) | 140733 |
| Hexadecimal (base 16) | C1DB |
| Base 3 | 2112002001 |
| As time | 49627 seconds = 13 h 47 min 7 s |
Is 49627 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 4) | 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 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 49627 a prime number?
Yes. 49627 is divisible only by 1 and itself.
What are the factors of 49627?
1, 49627.
What is 49627 in binary?
1100000111011011 (hexadecimal C1DB, octal 140733).
What is the square root of 49627?
About 222.7712.
Is 49627 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49627?
49627 is the 5097th prime number.