The number 88022
88022 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 4001. Divisors (8): 1, 2, 11, 22, 4001, 8002, 44011, 88022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88022 is composite. Its prime factorisation is
- 3
The divisors add up to 144072; without 88022 itself that is 56050, so 88022 is deficient (56050 is less than 88022). Euler's totient φ(88022) = 40000 numbers up to 88022 share no factor with it.
- 4
The digits of 88022 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88022 = 2 \times 11 \times 4001 \]
88022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 144072 |
| Euler totient φ(n) | 40000 |
| Square | 7747872484 |
| Cube | 681983231786648 |
| Square root | 296.685018 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.8022 × |
88022 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty-two |
| Binary (base 2) | 10101011111010110 |
| Octal (base 8) | 253726 |
| Hexadecimal (base 16) | 157D6 |
| Base 3 | 11110202002 |
| As time | 88022 seconds = 24 h 27 min 2 s |
Is 88022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88022 ÷ 2 = 44011) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88022 ÷ 11 = 8002) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88022 a prime number?
No. 88022 = 2 × 11 × 4001, so it is divisible by 2.
What are the factors of 88022?
1, 2, 11, 22, 4001, 8002, 44011, 88022.
What is 88022 in binary?
10101011111010110 (hexadecimal 157D6, octal 253726).
What is the square root of 88022?
About 296.6850.
Is 88022 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88022?
It is a composite number with 8 divisors.