The number 36342
36342 is a composite number with 16 divisors. Its prime factorisation is 2 × × 673. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 673, 1346, 2019, 4038, 6057, 12114, 18171, 36342.
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How to work it out
- 1
What is special about 36342: a Harshad number: divisible by its digit sum 18.
- 2
36342 is composite. Its prime factorisation is
- 3
The divisors add up to 80880; without 36342 itself that is 44538, so 36342 is abundant (44538 is more than 36342). Euler's totient φ(36342) = 12096 numbers up to 36342 share no factor with it.
- 4
The digits of 36342 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36342 = 2 \times 3^{3} \times 673 \]36342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80880 |
| Euler totient φ(n) | 12096 |
| Square | 1320740964 |
| Cube | 47998368113688 |
| Square root | 190.635778 (= 3√4038) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6342 × |
36342 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand three hundred and forty-two |
| Binary (base 2) | 1000110111110110 |
| Octal (base 8) | 106766 |
| Hexadecimal (base 16) | 8DF6 |
| Base 3 | 1211212000 |
| As time | 36342 seconds = 10 h 5 min 42 s |
Is 36342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36342 ÷ 2 = 18171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36342 ÷ 3 = 12114) | 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 (36342 ÷ 6 = 6057) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36342 ÷ 9 = 4038) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36342 a prime number?
No. 36342 = 2 × × 673, so it is divisible by 2.
What are the factors of 36342?
1, 2, 3, 6, 9, 18, 27, 54, 673, 1346, 2019, 4038, 6057, 12114, 18171, 36342.
What is 36342 in binary?
1000110111110110 (hexadecimal 8DF6, octal 106766).
What is the square root of 36342?
About 190.6358, exactly 3√4038.
Is 36342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36342?
36342 is a Harshad number: divisible by its digit sum 18.