The number 88848
88848 is a composite number with 30 divisors. Its prime factorisation is × × 617. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 617 … 88848.
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How to work it out
- 1
What is special about 88848: a Harshad number: divisible by its digit sum 36.
- 2
88848 is composite. Its prime factorisation is
- 3
The divisors add up to 249054; without 88848 itself that is 160206, so 88848 is abundant (160206 is more than 88848). Euler's totient φ(88848) = 29568 numbers up to 88848 share no factor with it.
- 4
The digits of 88848 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88848 = 2^{4} \times 3^{2} \times 617 \]88848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 249054 |
| Euler totient φ(n) | 29568 |
| Square | 7893967104 |
| Cube | 701363189256192 |
| Square root | 298.073816 (= 12√617) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8848 × |
88848 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and forty-eight |
| Binary (base 2) | 10101101100010000 |
| Octal (base 8) | 255420 |
| Hexadecimal (base 16) | 15B10 |
| Base 3 | 11111212200 |
| As time | 88848 seconds = 24 h 40 min 48 s |
Is 88848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88848 ÷ 2 = 44424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (88848 ÷ 3 = 29616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (88848 ÷ 4 = 22212) | 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 | Yes (88848 ÷ 6 = 14808) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (88848 ÷ 8 = 11106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (88848 ÷ 9 = 9872) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (88848 ÷ 12 = 7404) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88848 a prime number?
No. 88848 = × × 617, so it is divisible by 2.
What are the factors of 88848?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 617, 1234, 1851, 2468, 3702, 4936, 5553, 7404, 9872, 11106, 14808, 22212, 29616, 44424, 88848.
What is 88848 in binary?
10101101100010000 (hexadecimal 15B10, octal 255420).
What is the square root of 88848?
About 298.0738, exactly 12√617.
Is 88848 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 88848?
88848 is a Harshad number: divisible by its digit sum 36.