The number 13604
13604 is a composite number with 12 divisors. Its prime factorisation is × 19 × 179. Divisors (12): 1, 2, 4, 19, 38, 76, 179, 358, 716, 3401, 6802, 13604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13604 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 13604 itself that is 11596, so 13604 is deficient (11596 is less than 13604). Euler's totient φ(13604) = 6408 numbers up to 13604 share no factor with it.
- 4
The digits of 13604 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13604 = 2^{2} \times 19 \times 179 \]13604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 6408 |
| Square | 185068816 |
| Cube | 2517676172864 |
| Square root | 116.636186 (= 2√3401) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3604 × |
13604 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and four |
| Binary (base 2) | 11010100100100 |
| Octal (base 8) | 32444 |
| Hexadecimal (base 16) | 3524 |
| Base 3 | 200122212 |
| As time | 13604 seconds = 3 h 46 min 44 s |
Is 13604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13604 ÷ 2 = 6802) | 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 | Yes (13604 ÷ 4 = 3401) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13604 a prime number?
No. 13604 = × 19 × 179, so it is divisible by 2.
What are the factors of 13604?
1, 2, 4, 19, 38, 76, 179, 358, 716, 3401, 6802, 13604.
What is 13604 in binary?
11010100100100 (hexadecimal 3524, octal 32444).
What is the square root of 13604?
About 116.6362, exactly 2√3401.
Is 13604 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13604?
It is a composite number with 12 divisors.