The number 33143
33143 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 131. Divisors (8): 1, 11, 23, 131, 253, 1441, 3013, 33143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33143: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33143 is composite. Its prime factorisation is
- 3
The divisors add up to 38016; without 33143 itself that is 4873, so 33143 is deficient (4873 is less than 33143). Euler's totient φ(33143) = 28600 numbers up to 33143 share no factor with it.
- 4
The digits of 33143 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
\[ 33143 = 11 \times 23 \times 131 \]
33143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38016 |
| Euler totient φ(n) | 28600 |
| Square | 1098458449 |
| Cube | 36406208375207 |
| Square root | 182.052190 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3143 × |
33143 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and forty-three |
| Binary (base 2) | 1000000101110111 |
| Octal (base 8) | 100567 |
| Hexadecimal (base 16) | 8177 |
| Base 3 | 1200110112 |
| As time | 33143 seconds = 9 h 12 min 23 s |
Is 33143 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33143 ÷ 11 = 3013) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33143 a prime number?
No. 33143 = 11 × 23 × 131, so it is divisible by 11.
What are the factors of 33143?
1, 11, 23, 131, 253, 1441, 3013, 33143.
What is 33143 in binary?
1000000101110111 (hexadecimal 8177, octal 100567).
What is the square root of 33143?
About 182.0522.
Is 33143 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33143?
33143 is a happy number: repeatedly adding the squares of its digits reaches 1.