The number 48110
48110 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 283. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 170, 283, 566, 1415, 2830, 4811, 9622, 24055, 48110.
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How to work it out
- 1
What is special about 48110: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48110 is composite. Its prime factorisation is
- 3
The divisors add up to 92016; without 48110 itself that is 43906, so 48110 is deficient (43906 is less than 48110). Euler's totient φ(48110) = 18048 numbers up to 48110 share no factor with it.
- 4
The digits of 48110 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48110 = 2 \times 5 \times 17 \times 283 \]
48110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92016 |
| Euler totient φ(n) | 18048 |
| Square | 2314572100 |
| Cube | 111354063731000 |
| Square root | 219.339919 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.811 × |
48110 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and ten |
| Binary (base 2) | 1011101111101110 |
| Octal (base 8) | 135756 |
| Hexadecimal (base 16) | BBEE |
| Base 3 | 2102222212 |
| As time | 48110 seconds = 13 h 21 min 50 s |
Is 48110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48110 ÷ 2 = 24055) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48110 ÷ 5 = 9622) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | 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 | Yes (48110 ÷ 10 = 4811) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48110 a prime number?
No. 48110 = 2 × 5 × 17 × 283, so it is divisible by 2.
What are the factors of 48110?
1, 2, 5, 10, 17, 34, 85, 170, 283, 566, 1415, 2830, 4811, 9622, 24055, 48110.
What is 48110 in binary?
1011101111101110 (hexadecimal BBEE, octal 135756).
What is the square root of 48110?
About 219.3399.
Is 48110 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 48110?
48110 is a happy number: repeatedly adding the squares of its digits reaches 1.