The number 59204
59204 is a composite number with 18 divisors. Its prime factorisation is × × 41. Divisors (18): 1, 2, 4, 19, 38, 41, 76, 82, 164, 361, 722, 779, 1444, 1558, 3116, 14801 … 59204.
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How to work it out
- 1
59204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
59204 is composite. Its prime factorisation is
- 3
The divisors add up to 112014; without 59204 itself that is 52810, so 59204 is deficient (52810 is less than 59204). Euler's totient φ(59204) = 27360 numbers up to 59204 share no factor with it.
- 4
The digits of 59204 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 59204 = 2^{2} \times 19^{2} \times 41 \]59204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 112014 |
| Euler totient φ(n) | 27360 |
| Square | 3505113616 |
| Cube | 207516746521664 |
| Square root | 243.318721 (= 38√41) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9204 × |
59204 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand two hundred and four |
| Binary (base 2) | 1110011101000100 |
| Octal (base 8) | 163504 |
| Hexadecimal (base 16) | E744 |
| Base 3 | 10000012202 |
| As time | 59204 seconds = 16 h 26 min 44 s |
Is 59204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (59204 ÷ 2 = 29602) | 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 (59204 ÷ 4 = 14801) | 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 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 59204 a prime number?
No. 59204 = × × 41, so it is divisible by 2.
What are the factors of 59204?
1, 2, 4, 19, 38, 41, 76, 82, 164, 361, 722, 779, 1444, 1558, 3116, 14801, 29602, 59204.
What is 59204 in binary?
1110011101000100 (hexadecimal E744, octal 163504).
What is the square root of 59204?
About 243.3187, exactly 38√41.
Is 59204 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 59204?
It is a composite number with 18 divisors.