The number 10204
10204 is a composite number with 6 divisors. Its prime factorisation is × 2551. Divisors (6): 1, 2, 4, 2551, 5102, 10204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10204 is composite. Its prime factorisation is
- 3
The divisors add up to 17864; without 10204 itself that is 7660, so 10204 is deficient (7660 is less than 10204). Euler's totient φ(10204) = 5100 numbers up to 10204 share no factor with it.
- 4
The digits of 10204 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10204 = 2^{2} \times 2551 \]10204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17864 |
| Euler totient φ(n) | 5100 |
| Square | 104121616 |
| Cube | 1062456969664 |
| Square root | 101.014850 (= 2√2551) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.0204 × |
10204 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and four |
| Binary (base 2) | 10011111011100 |
| Octal (base 8) | 23734 |
| Hexadecimal (base 16) | 27DC |
| Base 3 | 111222221 |
| As time | 10204 seconds = 2 h 50 min 4 s |
Is 10204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10204 ÷ 2 = 5102) | 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 (10204 ÷ 4 = 2551) | 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 5) | 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 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 10204 a prime number?
No. 10204 = × 2551, so it is divisible by 2.
What are the factors of 10204?
1, 2, 4, 2551, 5102, 10204.
What is 10204 in binary?
10011111011100 (hexadecimal 27DC, octal 23734).
What is the square root of 10204?
About 101.0149, exactly 2√2551.
Is 10204 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10204?
It is a composite number with 6 divisors.