The number 5604
5604 is a composite number with 12 divisors. Its prime factorisation is × 3 × 467. Divisors (12): 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5604 is composite. Its prime factorisation is
- 3
The divisors add up to 13104; without 5604 itself that is 7500, so 5604 is abundant (7500 is more than 5604). Euler's totient φ(5604) = 1864 numbers up to 5604 share no factor with it.
- 4
The digits of 5604 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5604 = 2^{2} \times 3 \times 467 \]5604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13104 |
| Euler totient φ(n) | 1864 |
| Square | 31404816 |
| Cube | 175992588864 |
| Square root | 74.859869 (= 2√1401) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.604 × |
5604 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and four |
| Binary (base 2) | 1010111100100 |
| Octal (base 8) | 12744 |
| Hexadecimal (base 16) | 15E4 |
| Base 3 | 21200120 |
| As time | 5604 seconds = 1 h 33 min 24 s |
Is 5604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5604 ÷ 2 = 2802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5604 ÷ 3 = 1868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5604 ÷ 4 = 1401) | 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 | Yes (5604 ÷ 6 = 934) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5604 ÷ 12 = 467) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5604 a prime number?
No. 5604 = × 3 × 467, so it is divisible by 2.
What are the factors of 5604?
1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604.
What is 5604 in binary?
1010111100100 (hexadecimal 15E4, octal 12744).
What is the square root of 5604?
About 74.8599, exactly 2√1401.
Is 5604 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 5604?
It is a composite number with 12 divisors.