The number 33046
33046 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 31 × 41. Divisors (16): 1, 2, 13, 26, 31, 41, 62, 82, 403, 533, 806, 1066, 1271, 2542, 16523, 33046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33046: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33046 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 33046 itself that is 23402, so 33046 is deficient (23402 is less than 33046). Euler's totient φ(33046) = 14400 numbers up to 33046 share no factor with it.
- 4
The digits of 33046 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33046 = 2 \times 13 \times 31 \times 41 \]
33046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 14400 |
| Square | 1092038116 |
| Cube | 36087491581336 |
| Square root | 181.785588 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3046 × |
33046 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and forty-six |
| Binary (base 2) | 1000000100010110 |
| Octal (base 8) | 100426 |
| Hexadecimal (base 16) | 8116 |
| Base 3 | 1200022221 |
| As time | 33046 seconds = 9 h 10 min 46 s |
Is 33046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33046 ÷ 2 = 16523) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33046 a prime number?
No. 33046 = 2 × 13 × 31 × 41, so it is divisible by 2.
What are the factors of 33046?
1, 2, 13, 26, 31, 41, 62, 82, 403, 533, 806, 1066, 1271, 2542, 16523, 33046.
What is 33046 in binary?
1000000100010110 (hexadecimal 8116, octal 100426).
What is the square root of 33046?
About 181.7856.
Is 33046 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33046?
33046 is a happy number: repeatedly adding the squares of its digits reaches 1.