The number 88120
88120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2203. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2203, 4406, 8812, 11015, 17624, 22030, 44060, 88120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88120: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88120 is composite. Its prime factorisation is
- 3
The divisors add up to 198360; without 88120 itself that is 110240, so 88120 is abundant (110240 is more than 88120). Euler's totient φ(88120) = 35232 numbers up to 88120 share no factor with it.
- 4
The digits of 88120 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88120 = 2^{3} \times 5 \times 2203 \]88120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 198360 |
| Euler totient φ(n) | 35232 |
| Square | 7765134400 |
| Cube | 684263643328000 |
| Square root | 296.850131 (= 2√22030) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.812 × |
88120 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and twenty |
| Binary (base 2) | 10101100000111000 |
| Octal (base 8) | 254070 |
| Hexadecimal (base 16) | 15838 |
| Base 3 | 11110212201 |
| As time | 88120 seconds = 24 h 28 min 40 s |
Is 88120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88120 ÷ 2 = 44060) | 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 (88120 ÷ 4 = 22030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88120 ÷ 5 = 17624) | 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 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 (88120 ÷ 8 = 11015) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88120 ÷ 10 = 8812) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 88120 a prime number?
No. 88120 = × 5 × 2203, so it is divisible by 2.
What are the factors of 88120?
1, 2, 4, 5, 8, 10, 20, 40, 2203, 4406, 8812, 11015, 17624, 22030, 44060, 88120.
What is 88120 in binary?
10101100000111000 (hexadecimal 15838, octal 254070).
What is the square root of 88120?
About 296.8501, exactly 2√22030.
Is 88120 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 88120?
88120 is a happy number: repeatedly adding the squares of its digits reaches 1.