The number 33341
33341 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 433. Divisors (8): 1, 7, 11, 77, 433, 3031, 4763, 33341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33341: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33341 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 33341 itself that is 8323, so 33341 is deficient (8323 is less than 33341). Euler's totient φ(33341) = 25920 numbers up to 33341 share no factor with it.
- 4
The digits of 33341 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33341 = 7 \times 11 \times 433 \]
33341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 25920 |
| Square | 1111622281 |
| Cube | 37062598470821 |
| Square root | 182.595181 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3341 × |
33341 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty-one |
| Binary (base 2) | 1000001000111101 |
| Octal (base 8) | 101075 |
| Hexadecimal (base 16) | 823D |
| Base 3 | 1200201212 |
| As time | 33341 seconds = 9 h 15 min 41 s |
Is 33341 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33341 ÷ 7 = 4763) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33341 ÷ 11 = 3031) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33341 a prime number?
No. 33341 = 7 × 11 × 433, so it is divisible by 7.
What are the factors of 33341?
1, 7, 11, 77, 433, 3031, 4763, 33341.
What is 33341 in binary?
1000001000111101 (hexadecimal 823D, octal 101075).
What is the square root of 33341?
About 182.5952.
Is 33341 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33341?
33341 is a happy number: repeatedly adding the squares of its digits reaches 1.