The number 84088
84088 is a composite number with 16 divisors. Its prime factorisation is × 23 × 457. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 457, 914, 1828, 3656, 10511, 21022, 42044, 84088.
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How to work it out
- 1
What is special about 84088: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84088 is composite. Its prime factorisation is
- 3
The divisors add up to 164880; without 84088 itself that is 80792, so 84088 is deficient (80792 is less than 84088). Euler's totient φ(84088) = 40128 numbers up to 84088 share no factor with it.
- 4
The digits of 84088 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84088 = 2^{3} \times 23 \times 457 \]84088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164880 |
| Euler totient φ(n) | 40128 |
| Square | 7070791744 |
| Cube | 594568736169472 |
| Square root | 289.979310 (= 2√21022) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.4088 × |
84088 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and eighty-eight |
| Binary (base 2) | 10100100001111000 |
| Octal (base 8) | 244170 |
| Hexadecimal (base 16) | 14878 |
| Base 3 | 11021100101 |
| As time | 84088 seconds = 23 h 21 min 28 s |
Is 84088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84088 ÷ 2 = 42044) | 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 (84088 ÷ 4 = 21022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (84088 ÷ 8 = 10511) | 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 | No (remainder 8) | 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 84088 a prime number?
No. 84088 = × 23 × 457, so it is divisible by 2.
What are the factors of 84088?
1, 2, 4, 8, 23, 46, 92, 184, 457, 914, 1828, 3656, 10511, 21022, 42044, 84088.
What is 84088 in binary?
10100100001111000 (hexadecimal 14878, octal 244170).
What is the square root of 84088?
About 289.9793, exactly 2√21022.
Is 84088 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 84088?
84088 is a happy number: repeatedly adding the squares of its digits reaches 1.