The number 88840
88840 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2221. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2221, 4442, 8884, 11105, 17768, 22210, 44420, 88840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88840: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
88840 is composite. Its prime factorisation is
- 3
The divisors add up to 199980; without 88840 itself that is 111140, so 88840 is abundant (111140 is more than 88840). Euler's totient φ(88840) = 35520 numbers up to 88840 share no factor with it.
- 4
The digits of 88840 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88840 = 2^{3} \times 5 \times 2221 \]88840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 199980 |
| Euler totient φ(n) | 35520 |
| Square | 7892545600 |
| Cube | 701173751104000 |
| Square root | 298.060397 (= 2√22210) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.884 × |
88840 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand eight hundred and forty |
| Binary (base 2) | 10101101100001000 |
| Octal (base 8) | 255410 |
| Hexadecimal (base 16) | 15B08 |
| Base 3 | 11111212101 |
| As time | 88840 seconds = 24 h 40 min 40 s |
Is 88840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88840 ÷ 2 = 44420) | 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 (88840 ÷ 4 = 22210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88840 ÷ 5 = 17768) | 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 (88840 ÷ 8 = 11105) | 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 (88840 ÷ 10 = 8884) | 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 88840 a prime number?
No. 88840 = × 5 × 2221, so it is divisible by 2.
What are the factors of 88840?
1, 2, 4, 5, 8, 10, 20, 40, 2221, 4442, 8884, 11105, 17768, 22210, 44420, 88840.
What is 88840 in binary?
10101101100001000 (hexadecimal 15B08, octal 255410).
What is the square root of 88840?
About 298.0604, exactly 2√22210.
Is 88840 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88840?
88840 is a happy number: repeatedly adding the squares of its digits reaches 1.