The number 33642
33642 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 89. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178 … 33642.
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How to work it out
- 1
What is special about 33642: a Harshad number: divisible by its digit sum 18.
- 2
33642 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 33642 itself that is 52758, so 33642 is abundant (52758 is more than 33642). Euler's totient φ(33642) = 9504 numbers up to 33642 share no factor with it.
- 4
The digits of 33642 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33642 = 2 \times 3^{3} \times 7 \times 89 \]33642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 9504 |
| Square | 1131784164 |
| Cube | 38075482845288 |
| Square root | 183.417556 (= 3√3738) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3642 × |
33642 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and forty-two |
| Binary (base 2) | 1000001101101010 |
| Octal (base 8) | 101552 |
| Hexadecimal (base 16) | 836A |
| Base 3 | 1201011000 |
| As time | 33642 seconds = 9 h 20 min 42 s |
Is 33642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33642 ÷ 2 = 16821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33642 ÷ 3 = 11214) | 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 (33642 ÷ 6 = 5607) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33642 ÷ 7 = 4806) | 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 | Yes (33642 ÷ 9 = 3738) | 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 4) | 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 33642 a prime number?
No. 33642 = 2 × × 7 × 89, so it is divisible by 2.
What are the factors of 33642?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178, 189, 267, 378, 534, 623, 801, 1246, 1602, 1869, 2403, 3738, 4806, 5607, 11214, 16821, 33642.
What is 33642 in binary?
1000001101101010 (hexadecimal 836A, octal 101552).
What is the square root of 33642?
About 183.4176, exactly 3√3738.
Is 33642 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33642?
33642 is a Harshad number: divisible by its digit sum 18.