The number 33242
33242 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1511. Divisors (8): 1, 2, 11, 22, 1511, 3022, 16621, 33242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33242 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 33242 itself that is 21190, so 33242 is deficient (21190 is less than 33242). Euler's totient φ(33242) = 15100 numbers up to 33242 share no factor with it.
- 4
The digits of 33242 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33242 = 2 \times 11 \times 1511 \]
33242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 15100 |
| Square | 1105030564 |
| Cube | 36733426008488 |
| Square root | 182.323888 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3242 × |
33242 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and forty-two |
| Binary (base 2) | 1000000111011010 |
| Octal (base 8) | 100732 |
| Hexadecimal (base 16) | 81DA |
| Base 3 | 1200121012 |
| As time | 33242 seconds = 9 h 14 min 2 s |
Is 33242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33242 ÷ 2 = 16621) | 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 6) | 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 | Yes (33242 ÷ 11 = 3022) | 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 33242 a prime number?
No. 33242 = 2 × 11 × 1511, so it is divisible by 2.
What are the factors of 33242?
1, 2, 11, 22, 1511, 3022, 16621, 33242.
What is 33242 in binary?
1000000111011010 (hexadecimal 81DA, octal 100732).
What is the square root of 33242?
About 182.3239.
Is 33242 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33242?
It is a composite number with 8 divisors.