The number 83642
83642 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 3217. Divisors (8): 1, 2, 13, 26, 3217, 6434, 41821, 83642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83642: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83642 is composite. Its prime factorisation is
- 3
The divisors add up to 135156; without 83642 itself that is 51514, so 83642 is deficient (51514 is less than 83642). Euler's totient φ(83642) = 38592 numbers up to 83642 share no factor with it.
- 4
The digits of 83642 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83642 = 2 \times 13 \times 3217 \]
83642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135156 |
| Euler totient φ(n) | 38592 |
| Square | 6995984164 |
| Cube | 585158107445288 |
| Square root | 289.209267 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.3642 × |
83642 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and forty-two |
| Binary (base 2) | 10100011010111010 |
| Octal (base 8) | 243272 |
| Hexadecimal (base 16) | 146BA |
| Base 3 | 11020201212 |
| As time | 83642 seconds = 23 h 14 min 2 s |
Is 83642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83642 ÷ 2 = 41821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83642 a prime number?
No. 83642 = 2 × 13 × 3217, so it is divisible by 2.
What are the factors of 83642?
1, 2, 13, 26, 3217, 6434, 41821, 83642.
What is 83642 in binary?
10100011010111010 (hexadecimal 146BA, octal 243272).
What is the square root of 83642?
About 289.2093.
Is 83642 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83642?
83642 is a happy number: repeatedly adding the squares of its digits reaches 1.