The number 33742
33742 is a composite number with 4 divisors. Its prime factorisation is 2 × 16871. Divisors (4): 1, 2, 16871, 33742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33742: a semiprime: 2 × 16871, the product of two primes.
- 2
33742 is composite. Its prime factorisation is
- 3
The divisors add up to 50616; without 33742 itself that is 16874, so 33742 is deficient (16874 is less than 33742). Euler's totient φ(33742) = 16870 numbers up to 33742 share no factor with it.
- 4
The digits of 33742 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33742 = 2 \times 16871 \]
33742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50616 |
| Euler totient φ(n) | 16870 |
| Square | 1138522564 |
| Cube | 38416028354488 |
| Square root | 183.689956 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3742 × |
33742 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty-two |
| Binary (base 2) | 1000001111001110 |
| Octal (base 8) | 101716 |
| Hexadecimal (base 16) | 83CE |
| Base 3 | 1201021201 |
| As time | 33742 seconds = 9 h 22 min 22 s |
Is 33742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33742 ÷ 2 = 16871) | 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 2) | 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 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 33742 a prime number?
No. 33742 = 2 × 16871, so it is divisible by 2.
What are the factors of 33742?
1, 2, 16871, 33742.
What is 33742 in binary?
1000001111001110 (hexadecimal 83CE, octal 101716).
What is the square root of 33742?
About 183.6900.
Is 33742 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33742?
33742 is a semiprime: 2 × 16871, the product of two primes.