The number 83442
83442 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 13907. Divisors (8): 1, 2, 3, 6, 13907, 27814, 41721, 83442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83442 is composite. Its prime factorisation is
- 3
The divisors add up to 166896; without 83442 itself that is 83454, so 83442 is abundant (83454 is more than 83442). Euler's totient φ(83442) = 27812 numbers up to 83442 share no factor with it.
- 4
The digits of 83442 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83442 = 2 \times 3 \times 13907 \]
83442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 166896 |
| Euler totient φ(n) | 27812 |
| Square | 6962567364 |
| Cube | 580970545986888 |
| Square root | 288.863289 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3442 × |
83442 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and forty-two |
| Binary (base 2) | 10100010111110010 |
| Octal (base 8) | 242762 |
| Hexadecimal (base 16) | 145F2 |
| Base 3 | 11020110110 |
| As time | 83442 seconds = 23 h 10 min 42 s |
Is 83442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83442 ÷ 2 = 41721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83442 ÷ 3 = 27814) | 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 | Yes (83442 ÷ 6 = 13907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83442 a prime number?
No. 83442 = 2 × 3 × 13907, so it is divisible by 2.
What are the factors of 83442?
1, 2, 3, 6, 13907, 27814, 41721, 83442.
What is 83442 in binary?
10100010111110010 (hexadecimal 145F2, octal 242762).
What is the square root of 83442?
About 288.8633.
Is 83442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83442?
83442 is a happy number: repeatedly adding the squares of its digits reaches 1.