The number 58900
58900 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 31. Divisors (36): 1, 2, 4, 5, 10, 19, 20, 25, 31, 38, 50, 62, 76, 95, 100, 124 … 58900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58900 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 58900 itself that is 79980, so 58900 is abundant (79980 is more than 58900). Euler's totient φ(58900) = 21600 numbers up to 58900 share no factor with it.
- 4
The digits of 58900 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58900 = 2^{2} \times 5^{2} \times 19 \times 31 \]58900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 21600 |
| Square | 3469210000 |
| Cube | 204336469000000 |
| Square root | 242.693222 (= 10√589) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.89 × |
58900 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred |
| Binary (base 2) | 1110011000010100 |
| Octal (base 8) | 163024 |
| Hexadecimal (base 16) | E614 |
| Base 3 | 2222210111 |
| As time | 58900 seconds = 16 h 21 min 40 s |
Is 58900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58900 ÷ 2 = 29450) | 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 (58900 ÷ 4 = 14725) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58900 ÷ 5 = 11780) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58900 ÷ 10 = 5890) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 58900 a prime number?
No. 58900 = × × 19 × 31, so it is divisible by 2.
What are the factors of 58900?
1, 2, 4, 5, 10, 19, 20, 25, 31, 38, 50, 62, 76, 95, 100, 124, 155, 190, 310, 380, 475, 589, 620, 775, 950, 1178, 1550, 1900, 2356, 2945, 3100, 5890, 11780, 14725, 29450, 58900.
What is 58900 in binary?
1110011000010100 (hexadecimal E614, octal 163024).
What is the square root of 58900?
About 242.6932, exactly 10√589.
Is 58900 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58900?
It is a composite number with 36 divisors.