The number 4204
4204 is a composite number with 6 divisors. Its prime factorisation is × 1051. Divisors (6): 1, 2, 4, 1051, 2102, 4204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4204 is composite. Its prime factorisation is
- 3
The divisors add up to 7364; without 4204 itself that is 3160, so 4204 is deficient (3160 is less than 4204). Euler's totient φ(4204) = 2100 numbers up to 4204 share no factor with it.
- 4
The digits of 4204 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4204 = 2^{2} \times 1051 \]4204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7364 |
| Euler totient φ(n) | 2100 |
| Square | 17673616 |
| Cube | 74299881664 |
| Square root | 64.838260 (= 2√1051) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.204 × |
4204 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and four |
| Binary (base 2) | 1000001101100 |
| Octal (base 8) | 10154 |
| Hexadecimal (base 16) | 106C |
| Base 3 | 12202201 |
| As time | 4204 seconds = 1 h 10 min 4 s |
Is 4204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4204 ÷ 2 = 2102) | 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 (4204 ÷ 4 = 1051) | 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 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 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 2) | 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 4204 a prime number?
No. 4204 = × 1051, so it is divisible by 2.
What are the factors of 4204?
1, 2, 4, 1051, 2102, 4204.
What is 4204 in binary?
1000001101100 (hexadecimal 106C, octal 10154).
What is the square root of 4204?
About 64.8383, exactly 2√1051.
Is 4204 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4204?
It is a composite number with 6 divisors.