The number 48679
48679 is a twin prime (48677 and 48679 are both prime) and the 5008th prime number. Its only divisors are 1 and 48679.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48679: a twin prime (48677 and 48679 are both prime); the 5008th prime number.
- 2
48679 is prime, so its only factors are 1 and 48679. It is the 5008th prime; the next prime is 48731 and the one before is 48677.
- 3
The divisors add up to 48680; without 48679 itself that is 1, so 48679 is deficient (1 is less than 48679). Euler's totient φ(48679) = 48678 numbers up to 48679 share no factor with it.
- 4
The digits of 48679 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
48679 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48680 |
| Euler totient φ(n) | 48678 |
| Square | 2369645041 |
| Cube | 115351950950839 |
| Square root | 220.633180 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8679 × |
48679 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and seventy-nine |
| Binary (base 2) | 1011111000100111 |
| Octal (base 8) | 137047 |
| Hexadecimal (base 16) | BE27 |
| Base 3 | 2110202221 |
| As time | 48679 seconds = 13 h 31 min 19 s |
Is 48679 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 4) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 48679 a prime number?
Yes. 48679 is divisible only by 1 and itself.
What are the factors of 48679?
1, 48679.
What is 48679 in binary?
1011111000100111 (hexadecimal BE27, octal 137047).
What is the square root of 48679?
About 220.6332.
Is 48679 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 48679?
48679 is a twin prime (48677 and 48679 are both prime); the 5008th prime number.