The number 33047
33047 is a composite number with 4 divisors. Its prime factorisation is 7 × 4721. Divisors (4): 1, 7, 4721, 33047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33047: a semiprime: 7 × 4721, the product of two primes.
- 2
33047 is composite. Its prime factorisation is
- 3
The divisors add up to 37776; without 33047 itself that is 4729, so 33047 is deficient (4729 is less than 33047). Euler's totient φ(33047) = 28320 numbers up to 33047 share no factor with it.
- 4
The digits of 33047 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33047 = 7 \times 4721 \]
33047 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37776 |
| Euler totient φ(n) | 28320 |
| Square | 1092104209 |
| Cube | 36090767794823 |
| Square root | 181.788338 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3047 × |
33047 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and forty-seven |
| Binary (base 2) | 1000000100010111 |
| Octal (base 8) | 100427 |
| Hexadecimal (base 16) | 8117 |
| Base 3 | 1200022222 |
| As time | 33047 seconds = 9 h 10 min 47 s |
Is 33047 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 2) | 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 (33047 ÷ 7 = 4721) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 33047 a prime number?
No. 33047 = 7 × 4721, so it is divisible by 7.
What are the factors of 33047?
1, 7, 4721, 33047.
What is 33047 in binary?
1000000100010111 (hexadecimal 8117, octal 100427).
What is the square root of 33047?
About 181.7883.
Is 33047 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33047?
33047 is a semiprime: 7 × 4721, the product of two primes.