The number 3604
3604 is a composite number with 12 divisors. Its prime factorisation is × 17 × 53. Divisors (12): 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3604 is composite. Its prime factorisation is
- 3
The divisors add up to 6804; without 3604 itself that is 3200, so 3604 is deficient (3200 is less than 3604). Euler's totient φ(3604) = 1664 numbers up to 3604 share no factor with it.
- 4
The digits of 3604 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3604 = 2^{2} \times 17 \times 53 \]3604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6804 |
| Euler totient φ(n) | 1664 |
| Square | 12988816 |
| Cube | 46811692864 |
| Square root | 60.033324 (= 2√901) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.604 × |
3604 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and four |
| Roman numerals | MMMDCIV |
| Binary (base 2) | 111000010100 |
| Octal (base 8) | 7024 |
| Hexadecimal (base 16) | E14 |
| Base 3 | 11221111 |
| As time | 3604 seconds = 1 h 0 min 4 s |
Is 3604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3604 ÷ 2 = 1802) | 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 (3604 ÷ 4 = 901) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | 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 3604 a prime number?
No. 3604 = × 17 × 53, so it is divisible by 2.
What are the factors of 3604?
1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604.
What is 3604 in binary?
111000010100 (hexadecimal E14, octal 7024).
What is the square root of 3604?
About 60.0333, exactly 2√901.
What is 3604 in Roman numerals?
MMMDCIV.
Is 3604 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3604?
It is a composite number with 12 divisors.