The number 36842
36842 is a composite number with 12 divisors. Its prime factorisation is 2 × × 109. Divisors (12): 1, 2, 13, 26, 109, 169, 218, 338, 1417, 2834, 18421, 36842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36842: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36842 is composite. Its prime factorisation is
- 3
The divisors add up to 60390; without 36842 itself that is 23548, so 36842 is deficient (23548 is less than 36842). Euler's totient φ(36842) = 16848 numbers up to 36842 share no factor with it.
- 4
The digits of 36842 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36842 = 2 \times 13^{2} \times 109 \]36842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60390 |
| Euler totient φ(n) | 16848 |
| Square | 1357332964 |
| Cube | 50006861059688 |
| Square root | 191.942700 (= 13√218) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6842 × |
36842 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and forty-two |
| Binary (base 2) | 1000111111101010 |
| Octal (base 8) | 107752 |
| Hexadecimal (base 16) | 8FEA |
| Base 3 | 1212112112 |
| As time | 36842 seconds = 10 h 14 min 2 s |
Is 36842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36842 ÷ 2 = 18421) | 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 1) | 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 3) | 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 36842 a prime number?
No. 36842 = 2 × × 109, so it is divisible by 2.
What are the factors of 36842?
1, 2, 13, 26, 109, 169, 218, 338, 1417, 2834, 18421, 36842.
What is 36842 in binary?
1000111111101010 (hexadecimal 8FEA, octal 107752).
What is the square root of 36842?
About 191.9427, exactly 13√218.
Is 36842 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 36842?
36842 is a happy number: repeatedly adding the squares of its digits reaches 1.