The number 48109
48109 is the 4954th prime number. Its only divisors are 1 and 48109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48109: the 4954th prime number.
- 2
48109 is prime, so its only factors are 1 and 48109. It is the 4954th prime; the next prime is 48119 and the one before is 48091.
- 3
The divisors add up to 48110; without 48109 itself that is 1, so 48109 is deficient (1 is less than 48109). Euler's totient φ(48109) = 48108 numbers up to 48109 share no factor with it.
- 4
The digits of 48109 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 145 steps to reach 1.
48109 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48110 |
| Euler totient φ(n) | 48108 |
| Square | 2314475881 |
| Cube | 111347120159029 |
| Square root | 219.337639 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8109 × |
48109 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and nine |
| Binary (base 2) | 1011101111101101 |
| Octal (base 8) | 135755 |
| Hexadecimal (base 16) | BBED |
| Base 3 | 2102222211 |
| As time | 48109 seconds = 13 h 21 min 49 s |
Is 48109 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 1) | 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 5) | 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 4) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48109 a prime number?
Yes. 48109 is divisible only by 1 and itself.
What are the factors of 48109?
1, 48109.
What is 48109 in binary?
1011101111101101 (hexadecimal BBED, octal 135755).
What is the square root of 48109?
About 219.3376.
Is 48109 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48109?
48109 is the 4954th prime number.