The number 88000
88000 is a composite number with 56 divisors. Its prime factorisation is × × 11. Divisors (56): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55 … 88000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88000: a Harshad number: divisible by its digit sum 16.
- 2
88000 is composite. Its prime factorisation is
- 3
The divisors add up to 237744; without 88000 itself that is 149744, so 88000 is abundant (149744 is more than 88000). Euler's totient φ(88000) = 32000 numbers up to 88000 share no factor with it.
- 4
The digits of 88000 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88000 = 2^{6} \times 5^{3} \times 11 \]88000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 237744 |
| Euler totient φ(n) | 32000 |
| Square | 7744000000 |
| Cube | 681472000000000 |
| Square root | 296.647939 (= 40√55) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.8 × |
88000 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand |
| Binary (base 2) | 10101011111000000 |
| Octal (base 8) | 253700 |
| Hexadecimal (base 16) | 157C0 |
| Base 3 | 11110201021 |
| As time | 88000 seconds = 24 h 26 min 40 s |
Is 88000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88000 ÷ 2 = 44000) | 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 (88000 ÷ 4 = 22000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88000 ÷ 5 = 17600) | 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 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 (88000 ÷ 8 = 11000) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88000 ÷ 10 = 8800) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88000 ÷ 11 = 8000) | 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 88000 a prime number?
No. 88000 = × × 11, so it is divisible by 2.
What are the factors of 88000?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 64, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 320, 352, 400, 440, 500, 550, 704, 800, 880, 1000, 1100, 1375, 1600, 1760, 2000, 2200, 2750, 3520, 4000, 4400, 5500, 8000, 8800, 11000, 17600, 22000, 44000, 88000.
What is 88000 in binary?
10101011111000000 (hexadecimal 157C0, octal 253700).
What is the square root of 88000?
About 296.6479, exactly 40√55.
Is 88000 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 88000?
88000 is a Harshad number: divisible by its digit sum 16.