The number 48107
48107 is a composite number with 4 divisors. Its prime factorisation is 73 × 659. Divisors (4): 1, 73, 659, 48107.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48107: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 659, the product of two primes.
- 2
48107 is composite. Its prime factorisation is
- 3
The divisors add up to 48840; without 48107 itself that is 733, so 48107 is deficient (733 is less than 48107). Euler's totient φ(48107) = 47376 numbers up to 48107 share no factor with it.
- 4
The digits of 48107 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48107 = 73 \times 659 \]
48107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48840 |
| Euler totient φ(n) | 47376 |
| Square | 2314283449 |
| Cube | 111333233881043 |
| Square root | 219.333080 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.8107 × |
48107 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and seven |
| Binary (base 2) | 1011101111101011 |
| Octal (base 8) | 135753 |
| Hexadecimal (base 16) | BBEB |
| Base 3 | 2102222202 |
| As time | 48107 seconds = 13 h 21 min 47 s |
Is 48107 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 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48107 a prime number?
No. 48107 = 73 × 659, so it is divisible by 73.
What are the factors of 48107?
1, 73, 659, 48107.
What is 48107 in binary?
1011101111101011 (hexadecimal BBEB, octal 135753).
What is the square root of 48107?
About 219.3331.
Is 48107 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48107?
48107 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 659, the product of two primes.