The number 13204
13204 is a composite number with 6 divisors. Its prime factorisation is × 3301. Divisors (6): 1, 2, 4, 3301, 6602, 13204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13204 is composite. Its prime factorisation is
- 3
The divisors add up to 23114; without 13204 itself that is 9910, so 13204 is deficient (9910 is less than 13204). Euler's totient φ(13204) = 6600 numbers up to 13204 share no factor with it.
- 4
The digits of 13204 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13204 = 2^{2} \times 3301 \]13204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23114 |
| Euler totient φ(n) | 6600 |
| Square | 174345616 |
| Cube | 2302059513664 |
| Square root | 114.908659 (= 2√3301) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3204 × |
13204 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and four |
| Binary (base 2) | 11001110010100 |
| Octal (base 8) | 31624 |
| Hexadecimal (base 16) | 3394 |
| Base 3 | 200010001 |
| As time | 13204 seconds = 3 h 40 min 4 s |
Is 13204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13204 ÷ 2 = 6602) | 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 (13204 ÷ 4 = 3301) | 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 2) | 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 1) | 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 4) | 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 13204 a prime number?
No. 13204 = × 3301, so it is divisible by 2.
What are the factors of 13204?
1, 2, 4, 3301, 6602, 13204.
What is 13204 in binary?
11001110010100 (hexadecimal 3394, octal 31624).
What is the square root of 13204?
About 114.9087, exactly 2√3301.
Is 13204 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13204?
It is a composite number with 6 divisors.