The number 52108
52108 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1861. Divisors (12): 1, 2, 4, 7, 14, 28, 1861, 3722, 7444, 13027, 26054, 52108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52108: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52108 is composite. Its prime factorisation is
- 3
The divisors add up to 104272; without 52108 itself that is 52164, so 52108 is abundant (52164 is more than 52108). Euler's totient φ(52108) = 22320 numbers up to 52108 share no factor with it.
- 4
The digits of 52108 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52108 = 2^{2} \times 7 \times 1861 \]52108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104272 |
| Euler totient φ(n) | 22320 |
| Square | 2715243664 |
| Cube | 141485916843712 |
| Square root | 228.271768 (= 2√13027) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.2108 × |
52108 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and eight |
| Binary (base 2) | 1100101110001100 |
| Octal (base 8) | 145614 |
| Hexadecimal (base 16) | CB8C |
| Base 3 | 2122110221 |
| As time | 52108 seconds = 14 h 28 min 28 s |
Is 52108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52108 ÷ 2 = 26054) | 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 (52108 ÷ 4 = 13027) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (52108 ÷ 7 = 7444) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 52108 a prime number?
No. 52108 = × 7 × 1861, so it is divisible by 2.
What are the factors of 52108?
1, 2, 4, 7, 14, 28, 1861, 3722, 7444, 13027, 26054, 52108.
What is 52108 in binary?
1100101110001100 (hexadecimal CB8C, octal 145614).
What is the square root of 52108?
About 228.2718, exactly 2√13027.
Is 52108 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52108?
52108 is a happy number: repeatedly adding the squares of its digits reaches 1.