The number 33231
33231 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 19 × 53. Divisors (16): 1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077, 33231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33231: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33231 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 33231 itself that is 18609, so 33231 is deficient (18609 is less than 33231). Euler's totient φ(33231) = 18720 numbers up to 33231 share no factor with it.
- 4
The digits of 33231 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33231 = 3 \times 11 \times 19 \times 53 \]
33231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 18720 |
| Square | 1104299361 |
| Cube | 36696972065391 |
| Square root | 182.293719 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3231 × |
33231 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and thirty-one |
| Binary (base 2) | 1000000111001111 |
| Octal (base 8) | 100717 |
| Hexadecimal (base 16) | 81CF |
| Base 3 | 1200120210 |
| As time | 33231 seconds = 9 h 13 min 51 s |
Is 33231 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 (33231 ÷ 3 = 11077) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (33231 ÷ 11 = 3021) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33231 a prime number?
No. 33231 = 3 × 11 × 19 × 53, so it is divisible by 3.
What are the factors of 33231?
1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077, 33231.
What is 33231 in binary?
1000000111001111 (hexadecimal 81CF, octal 100717).
What is the square root of 33231?
About 182.2937.
Is 33231 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33231?
33231 is a happy number: repeatedly adding the squares of its digits reaches 1.