The number 52180
52180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2609. Divisors (12): 1, 2, 4, 5, 10, 20, 2609, 5218, 10436, 13045, 26090, 52180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52180: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52180 is composite. Its prime factorisation is
- 3
The divisors add up to 109620; without 52180 itself that is 57440, so 52180 is abundant (57440 is more than 52180). Euler's totient φ(52180) = 20864 numbers up to 52180 share no factor with it.
- 4
The digits of 52180 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52180 = 2^{2} \times 5 \times 2609 \]52180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109620 |
| Euler totient φ(n) | 20864 |
| Square | 2722752400 |
| Cube | 142073220232000 |
| Square root | 228.429420 (= 2√13045) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.218 × |
52180 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and eighty |
| Binary (base 2) | 1100101111010100 |
| Octal (base 8) | 145724 |
| Hexadecimal (base 16) | CBD4 |
| Base 3 | 2122120121 |
| As time | 52180 seconds = 14 h 29 min 40 s |
Is 52180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52180 ÷ 2 = 26090) | 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 (52180 ÷ 4 = 13045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52180 ÷ 5 = 10436) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52180 ÷ 10 = 5218) | 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 52180 a prime number?
No. 52180 = × 5 × 2609, so it is divisible by 2.
What are the factors of 52180?
1, 2, 4, 5, 10, 20, 2609, 5218, 10436, 13045, 26090, 52180.
What is 52180 in binary?
1100101111010100 (hexadecimal CBD4, octal 145724).
What is the square root of 52180?
About 228.4294, exactly 2√13045.
Is 52180 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52180?
52180 is a happy number: repeatedly adding the squares of its digits reaches 1.