The number 88180
88180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4409. Divisors (12): 1, 2, 4, 5, 10, 20, 4409, 8818, 17636, 22045, 44090, 88180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88180 is composite. Its prime factorisation is
- 3
The divisors add up to 185220; without 88180 itself that is 97040, so 88180 is abundant (97040 is more than 88180). Euler's totient φ(88180) = 35264 numbers up to 88180 share no factor with it.
- 4
The digits of 88180 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88180 = 2^{2} \times 5 \times 4409 \]88180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 185220 |
| Euler totient φ(n) | 35264 |
| Square | 7775712400 |
| Cube | 685662319432000 |
| Square root | 296.951174 (= 2√22045) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.818 × |
88180 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and eighty |
| Binary (base 2) | 10101100001110100 |
| Octal (base 8) | 254164 |
| Hexadecimal (base 16) | 15874 |
| Base 3 | 11110221221 |
| As time | 88180 seconds = 24 h 29 min 40 s |
Is 88180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88180 ÷ 2 = 44090) | 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 (88180 ÷ 4 = 22045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88180 ÷ 5 = 17636) | 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 1) | 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 4) | 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 (88180 ÷ 10 = 8818) | 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 88180 a prime number?
No. 88180 = × 5 × 4409, so it is divisible by 2.
What are the factors of 88180?
1, 2, 4, 5, 10, 20, 4409, 8818, 17636, 22045, 44090, 88180.
What is 88180 in binary?
10101100001110100 (hexadecimal 15874, octal 254164).
What is the square root of 88180?
About 296.9512, exactly 2√22045.
Is 88180 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 88180?
88180 is a happy number: repeatedly adding the squares of its digits reaches 1.