The number 48677
48677 is a twin prime (48677 and 48679 are both prime) and the 5007th prime number. Its only divisors are 1 and 48677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48677: a twin prime (48677 and 48679 are both prime); the 5007th prime number.
- 2
48677 is prime, so its only factors are 1 and 48677. It is the 5007th prime; the next prime is 48679 and the one before is 48673.
- 3
The divisors add up to 48678; without 48677 itself that is 1, so 48677 is deficient (1 is less than 48677). Euler's totient φ(48677) = 48676 numbers up to 48677 share no factor with it.
- 4
The digits of 48677 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
48677 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48678 |
| Euler totient φ(n) | 48676 |
| Square | 2369450329 |
| Cube | 115337733664733 |
| Square root | 220.628647 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8677 × |
48677 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-seven |
| Binary (base 2) | 1011111000100101 |
| Octal (base 8) | 137045 |
| Hexadecimal (base 16) | BE25 |
| Base 3 | 2110202212 |
| As time | 48677 seconds = 13 h 31 min 17 s |
Is 48677 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 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 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 5) | 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 2) | 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 48677 a prime number?
Yes. 48677 is divisible only by 1 and itself.
What are the factors of 48677?
1, 48677.
What is 48677 in binary?
1011111000100101 (hexadecimal BE25, octal 137045).
What is the square root of 48677?
About 220.6286.
Is 48677 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 48677?
48677 is a twin prime (48677 and 48679 are both prime); the 5007th prime number.