The number 33441
33441 is a composite number with 8 divisors. Its prime factorisation is 3 × 71 × 157. Divisors (8): 1, 3, 71, 157, 213, 471, 11147, 33441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33441 is composite. Its prime factorisation is
- 3
The divisors add up to 45504; without 33441 itself that is 12063, so 33441 is deficient (12063 is less than 33441). Euler's totient φ(33441) = 21840 numbers up to 33441 share no factor with it.
- 4
The digits of 33441 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33441 = 3 \times 71 \times 157 \]
33441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45504 |
| Euler totient φ(n) | 21840 |
| Square | 1118300481 |
| Cube | 37397086385121 |
| Square root | 182.868805 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3441 × |
33441 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and forty-one |
| Binary (base 2) | 1000001010100001 |
| Octal (base 8) | 101241 |
| Hexadecimal (base 16) | 82A1 |
| Base 3 | 1200212120 |
| As time | 33441 seconds = 9 h 17 min 21 s |
Is 33441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33441 ÷ 3 = 11147) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33441 a prime number?
No. 33441 = 3 × 71 × 157, so it is divisible by 3.
What are the factors of 33441?
1, 3, 71, 157, 213, 471, 11147, 33441.
What is 33441 in binary?
1000001010100001 (hexadecimal 82A1, octal 101241).
What is the square root of 33441?
About 182.8688.
Is 33441 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33441?
It is a composite number with 8 divisors.