The number 58820
58820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 173. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 173, 340, 346, 692, 865 … 58820.
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How to work it out
- 1
58820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58820 is composite. Its prime factorisation is
- 3
The divisors add up to 131544; without 58820 itself that is 72724, so 58820 is abundant (72724 is more than 58820). Euler's totient φ(58820) = 22016 numbers up to 58820 share no factor with it.
- 4
The digits of 58820 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58820 = 2^{2} \times 5 \times 17 \times 173 \]58820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131544 |
| Euler totient φ(n) | 22016 |
| Square | 3459792400 |
| Cube | 203504988968000 |
| Square root | 242.528349 (= 2√14705) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.882 × |
58820 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and twenty |
| Binary (base 2) | 1110010111000100 |
| Octal (base 8) | 162704 |
| Hexadecimal (base 16) | E5C4 |
| Base 3 | 2222200112 |
| As time | 58820 seconds = 16 h 20 min 20 s |
Is 58820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58820 ÷ 2 = 29410) | 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 (58820 ÷ 4 = 14705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58820 ÷ 5 = 11764) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58820 ÷ 10 = 5882) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 58820 a prime number?
No. 58820 = × 5 × 17 × 173, so it is divisible by 2.
What are the factors of 58820?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 173, 340, 346, 692, 865, 1730, 2941, 3460, 5882, 11764, 14705, 29410, 58820.
What is 58820 in binary?
1110010111000100 (hexadecimal E5C4, octal 162704).
What is the square root of 58820?
About 242.5283, exactly 2√14705.
Is 58820 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58820?
It is a composite number with 24 divisors.