The number 58220
58220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 71. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 71, 82, 142, 164, 205, 284, 355, 410, 710 … 58220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58220: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58220 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 58220 itself that is 68788, so 58220 is abundant (68788 is more than 58220). Euler's totient φ(58220) = 22400 numbers up to 58220 share no factor with it.
- 4
The digits of 58220 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58220 = 2^{2} \times 5 \times 41 \times 71 \]58220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 22400 |
| Square | 3389568400 |
| Cube | 197340672248000 |
| Square root | 241.288209 (= 2√14555) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.822 × |
58220 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand two hundred and twenty |
| Binary (base 2) | 1110001101101100 |
| Octal (base 8) | 161554 |
| Hexadecimal (base 16) | E36C |
| Base 3 | 2221212022 |
| As time | 58220 seconds = 16 h 10 min 20 s |
Is 58220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58220 ÷ 2 = 29110) | 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 (58220 ÷ 4 = 14555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58220 ÷ 5 = 11644) | 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58220 ÷ 10 = 5822) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 58220 a prime number?
No. 58220 = × 5 × 41 × 71, so it is divisible by 2.
What are the factors of 58220?
1, 2, 4, 5, 10, 20, 41, 71, 82, 142, 164, 205, 284, 355, 410, 710, 820, 1420, 2911, 5822, 11644, 14555, 29110, 58220.
What is 58220 in binary?
1110001101101100 (hexadecimal E36C, octal 161554).
What is the square root of 58220?
About 241.2882, exactly 2√14555.
Is 58220 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 58220?
58220 is a happy number: repeatedly adding the squares of its digits reaches 1.