The number 33542
33542 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 541. Divisors (8): 1, 2, 31, 62, 541, 1082, 16771, 33542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33542 is composite. Its prime factorisation is
- 3
The divisors add up to 52032; without 33542 itself that is 18490, so 33542 is deficient (18490 is less than 33542). Euler's totient φ(33542) = 16200 numbers up to 33542 share no factor with it.
- 4
The digits of 33542 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33542 = 2 \times 31 \times 541 \]
33542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52032 |
| Euler totient φ(n) | 16200 |
| Square | 1125065764 |
| Cube | 37736955856088 |
| Square root | 183.144751 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3542 × |
33542 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and forty-two |
| Binary (base 2) | 1000001100000110 |
| Octal (base 8) | 101406 |
| Hexadecimal (base 16) | 8306 |
| Base 3 | 1201000022 |
| As time | 33542 seconds = 9 h 19 min 2 s |
Is 33542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33542 ÷ 2 = 16771) | 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 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 | No (remainder 8) | 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 33542 a prime number?
No. 33542 = 2 × 31 × 541, so it is divisible by 2.
What are the factors of 33542?
1, 2, 31, 62, 541, 1082, 16771, 33542.
What is 33542 in binary?
1000001100000110 (hexadecimal 8306, octal 101406).
What is the square root of 33542?
About 183.1448.
Is 33542 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33542?
It is a composite number with 8 divisors.