The number 48117
48117 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 373. Divisors (8): 1, 3, 43, 129, 373, 1119, 16039, 48117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48117 is composite. Its prime factorisation is
- 3
The divisors add up to 65824; without 48117 itself that is 17707, so 48117 is deficient (17707 is less than 48117). Euler's totient φ(48117) = 31248 numbers up to 48117 share no factor with it.
- 4
The digits of 48117 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48117 = 3 \times 43 \times 373 \]
48117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65824 |
| Euler totient φ(n) | 31248 |
| Square | 2315245689 |
| Cube | 111402676817613 |
| Square root | 219.355875 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8117 × |
48117 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and seventeen |
| Binary (base 2) | 1011101111110101 |
| Octal (base 8) | 135765 |
| Hexadecimal (base 16) | BBF5 |
| Base 3 | 2110000010 |
| As time | 48117 seconds = 13 h 21 min 57 s |
Is 48117 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 | Yes (48117 ÷ 3 = 16039) | 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 3) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48117 a prime number?
No. 48117 = 3 × 43 × 373, so it is divisible by 3.
What are the factors of 48117?
1, 3, 43, 129, 373, 1119, 16039, 48117.
What is 48117 in binary?
1011101111110101 (hexadecimal BBF5, octal 135765).
What is the square root of 48117?
About 219.3559.
Is 48117 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48117?
It is a composite number with 8 divisors.