The number 83242
83242 is a composite number with 4 divisors. Its prime factorisation is 2 × 41621. Divisors (4): 1, 2, 41621, 83242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83242: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 41621, the product of two primes.
- 2
83242 is composite. Its prime factorisation is
- 3
The divisors add up to 124866; without 83242 itself that is 41624, so 83242 is deficient (41624 is less than 83242). Euler's totient φ(83242) = 41620 numbers up to 83242 share no factor with it.
- 4
The digits of 83242 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83242 = 2 \times 41621 \]
83242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 124866 |
| Euler totient φ(n) | 41620 |
| Square | 6929230564 |
| Cube | 576803010608488 |
| Square root | 288.516897 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.3242 × |
83242 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and forty-two |
| Binary (base 2) | 10100010100101010 |
| Octal (base 8) | 242452 |
| Hexadecimal (base 16) | 1452A |
| Base 3 | 11020012001 |
| As time | 83242 seconds = 23 h 7 min 22 s |
Is 83242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83242 ÷ 2 = 41621) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83242 a prime number?
No. 83242 = 2 × 41621, so it is divisible by 2.
What are the factors of 83242?
1, 2, 41621, 83242.
What is 83242 in binary?
10100010100101010 (hexadecimal 1452A, octal 242452).
What is the square root of 83242?
About 288.5169.
Is 83242 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 83242?
83242 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 41621, the product of two primes.