The number 48088
48088 is a composite number with 8 divisors. Its prime factorisation is × 6011. Divisors (8): 1, 2, 4, 8, 6011, 12022, 24044, 48088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48088: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48088 is composite. Its prime factorisation is
- 3
The divisors add up to 90180; without 48088 itself that is 42092, so 48088 is deficient (42092 is less than 48088). Euler's totient φ(48088) = 24040 numbers up to 48088 share no factor with it.
- 4
The digits of 48088 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48088 = 2^{3} \times 6011 \]48088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90180 |
| Euler totient φ(n) | 24040 |
| Square | 2312455744 |
| Cube | 111201371817472 |
| Square root | 219.289763 (= 2√12022) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8088 × |
48088 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and eighty-eight |
| Binary (base 2) | 1011101111011000 |
| Octal (base 8) | 135730 |
| Hexadecimal (base 16) | BBD8 |
| Base 3 | 2102222001 |
| As time | 48088 seconds = 13 h 21 min 28 s |
Is 48088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48088 ÷ 2 = 24044) | 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 | Yes (48088 ÷ 4 = 12022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (48088 ÷ 8 = 6011) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48088 a prime number?
No. 48088 = × 6011, so it is divisible by 2.
What are the factors of 48088?
1, 2, 4, 8, 6011, 12022, 24044, 48088.
What is 48088 in binary?
1011101111011000 (hexadecimal BBD8, octal 135730).
What is the square root of 48088?
About 219.2898, exactly 2√12022.
Is 48088 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48088?
48088 is a happy number: repeatedly adding the squares of its digits reaches 1.