The number 58120
58120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1453. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1453, 2906, 5812, 7265, 11624, 14530, 29060, 58120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58120: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58120 is composite. Its prime factorisation is
- 3
The divisors add up to 130860; without 58120 itself that is 72740, so 58120 is abundant (72740 is more than 58120). Euler's totient φ(58120) = 23232 numbers up to 58120 share no factor with it.
- 4
The digits of 58120 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58120 = 2^{3} \times 5 \times 1453 \]58120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130860 |
| Euler totient φ(n) | 23232 |
| Square | 3377934400 |
| Cube | 196325547328000 |
| Square root | 241.080899 (= 2√14530) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.812 × |
58120 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and twenty |
| Binary (base 2) | 1110001100001000 |
| Octal (base 8) | 161410 |
| Hexadecimal (base 16) | E308 |
| Base 3 | 2221201121 |
| As time | 58120 seconds = 16 h 8 min 40 s |
Is 58120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58120 ÷ 2 = 29060) | 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 (58120 ÷ 4 = 14530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58120 ÷ 5 = 11624) | 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 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 (58120 ÷ 8 = 7265) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58120 ÷ 10 = 5812) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 58120 a prime number?
No. 58120 = × 5 × 1453, so it is divisible by 2.
What are the factors of 58120?
1, 2, 4, 5, 8, 10, 20, 40, 1453, 2906, 5812, 7265, 11624, 14530, 29060, 58120.
What is 58120 in binary?
1110001100001000 (hexadecimal E308, octal 161410).
What is the square root of 58120?
About 241.0809, exactly 2√14530.
Is 58120 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 58120?
58120 is a happy number: repeatedly adding the squares of its digits reaches 1.