The number 58400
58400 is a composite number with 36 divisors. Its prime factorisation is × × 73. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 73, 80, 100, 146 … 58400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58400 is composite. Its prime factorisation is
- 3
The divisors add up to 144522; without 58400 itself that is 86122, so 58400 is abundant (86122 is more than 58400). Euler's totient φ(58400) = 23040 numbers up to 58400 share no factor with it.
- 4
The digits of 58400 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58400 = 2^{5} \times 5^{2} \times 73 \]58400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 144522 |
| Euler totient φ(n) | 23040 |
| Square | 3410560000 |
| Cube | 199176704000000 |
| Square root | 241.660919 (= 20√146) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.84 × |
58400 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred |
| Binary (base 2) | 1110010000100000 |
| Octal (base 8) | 162040 |
| Hexadecimal (base 16) | E420 |
| Base 3 | 2222002222 |
| As time | 58400 seconds = 16 h 13 min 20 s |
Is 58400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58400 ÷ 2 = 29200) | 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 (58400 ÷ 4 = 14600) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58400 ÷ 5 = 11680) | 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 6) | 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 | Yes (58400 ÷ 8 = 7300) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58400 ÷ 10 = 5840) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 58400 a prime number?
No. 58400 = × × 73, so it is divisible by 2.
What are the factors of 58400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 73, 80, 100, 146, 160, 200, 292, 365, 400, 584, 730, 800, 1168, 1460, 1825, 2336, 2920, 3650, 5840, 7300, 11680, 14600, 29200, 58400.
What is 58400 in binary?
1110010000100000 (hexadecimal E420, octal 162040).
What is the square root of 58400?
About 241.6609, exactly 20√146.
Is 58400 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 58400?
It is a composite number with 36 divisors.