The number 33604
33604 is a composite number with 12 divisors. Its prime factorisation is × 31 × 271. Divisors (12): 1, 2, 4, 31, 62, 124, 271, 542, 1084, 8401, 16802, 33604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33604: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33604 is composite. Its prime factorisation is
- 3
The divisors add up to 60928; without 33604 itself that is 27324, so 33604 is deficient (27324 is less than 33604). Euler's totient φ(33604) = 16200 numbers up to 33604 share no factor with it.
- 4
The digits of 33604 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
\[ 33604 = 2^{2} \times 31 \times 271 \]33604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60928 |
| Euler totient φ(n) | 16200 |
| Square | 1129228816 |
| Cube | 37946605132864 |
| Square root | 183.313938 (= 2√8401) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3604 × |
33604 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and four |
| Binary (base 2) | 1000001101000100 |
| Octal (base 8) | 101504 |
| Hexadecimal (base 16) | 8344 |
| Base 3 | 1201002121 |
| As time | 33604 seconds = 9 h 20 min 4 s |
Is 33604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33604 ÷ 2 = 16802) | 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 | Yes (33604 ÷ 4 = 8401) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33604 a prime number?
No. 33604 = × 31 × 271, so it is divisible by 2.
What are the factors of 33604?
1, 2, 4, 31, 62, 124, 271, 542, 1084, 8401, 16802, 33604.
What is 33604 in binary?
1000001101000100 (hexadecimal 8344, octal 101504).
What is the square root of 33604?
About 183.3139, exactly 2√8401.
Is 33604 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33604?
33604 is a happy number: repeatedly adding the squares of its digits reaches 1.