The number 88448
88448 is a composite number with 16 divisors. Its prime factorisation is × 691. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 691, 1382, 2764, 5528, 11056, 22112, 44224, 88448.
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How to work it out
- 1
What is special about 88448: a Harshad number: divisible by its digit sum 32.
- 2
88448 is composite. Its prime factorisation is
- 3
The divisors add up to 176460; without 88448 itself that is 88012, so 88448 is deficient (88012 is less than 88448). Euler's totient φ(88448) = 44160 numbers up to 88448 share no factor with it.
- 4
The digits of 88448 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88448 = 2^{7} \times 691 \]88448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 176460 |
| Euler totient φ(n) | 44160 |
| Square | 7823048704 |
| Cube | 691933011771392 |
| Square root | 297.402085 (= 8√1382) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8448 × |
88448 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand four hundred and forty-eight |
| Binary (base 2) | 10101100110000000 |
| Octal (base 8) | 254600 |
| Hexadecimal (base 16) | 15980 |
| Base 3 | 11111022212 |
| As time | 88448 seconds = 24 h 34 min 8 s |
Is 88448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88448 ÷ 2 = 44224) | 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 | Yes (88448 ÷ 4 = 22112) | 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 2) | 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 | Yes (88448 ÷ 8 = 11056) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88448 a prime number?
No. 88448 = × 691, so it is divisible by 2.
What are the factors of 88448?
1, 2, 4, 8, 16, 32, 64, 128, 691, 1382, 2764, 5528, 11056, 22112, 44224, 88448.
What is 88448 in binary?
10101100110000000 (hexadecimal 15980, octal 254600).
What is the square root of 88448?
About 297.4021, exactly 8√1382.
Is 88448 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 88448?
88448 is a Harshad number: divisible by its digit sum 32.