The number 88048
88048 is a composite number with 10 divisors. Its prime factorisation is × 5503. Divisors (10): 1, 2, 4, 8, 16, 5503, 11006, 22012, 44024, 88048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88048 is composite. Its prime factorisation is
- 3
The divisors add up to 170624; without 88048 itself that is 82576, so 88048 is deficient (82576 is less than 88048). Euler's totient φ(88048) = 44016 numbers up to 88048 share no factor with it.
- 4
The digits of 88048 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88048 = 2^{4} \times 5503 \]88048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 170624 |
| Euler totient φ(n) | 44016 |
| Square | 7752450304 |
| Cube | 682587744366592 |
| Square root | 296.728832 (= 4√5503) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 177 |
| Scientific notation | 8.8048 × |
88048 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and forty-eight |
| Binary (base 2) | 10101011111110000 |
| Octal (base 8) | 253760 |
| Hexadecimal (base 16) | 157F0 |
| Base 3 | 11110210001 |
| As time | 88048 seconds = 24 h 27 min 28 s |
Is 88048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88048 ÷ 2 = 44024) | 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 (88048 ÷ 4 = 22012) | 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 2) | 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 (88048 ÷ 8 = 11006) | 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 4) | 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 88048 a prime number?
No. 88048 = × 5503, so it is divisible by 2.
What are the factors of 88048?
1, 2, 4, 8, 16, 5503, 11006, 22012, 44024, 88048.
What is 88048 in binary?
10101011111110000 (hexadecimal 157F0, octal 253760).
What is the square root of 88048?
About 296.7288, exactly 4√5503.
Is 88048 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88048?
88048 is a happy number: repeatedly adding the squares of its digits reaches 1.