The number 52688
52688 is a composite number with 20 divisors. Its prime factorisation is × 37 × 89. Divisors (20): 1, 2, 4, 8, 16, 37, 74, 89, 148, 178, 296, 356, 592, 712, 1424, 3293 … 52688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52688: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52688 is composite. Its prime factorisation is
- 3
The divisors add up to 106020; without 52688 itself that is 53332, so 52688 is abundant (53332 is more than 52688). Euler's totient φ(52688) = 25344 numbers up to 52688 share no factor with it.
- 4
The digits of 52688 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52688 = 2^{4} \times 37 \times 89 \]52688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 106020 |
| Euler totient φ(n) | 25344 |
| Square | 2776025344 |
| Cube | 146263223324672 |
| Square root | 229.538668 (= 4√3293) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2688 × |
52688 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand six hundred and eighty-eight |
| Binary (base 2) | 1100110111010000 |
| Octal (base 8) | 146720 |
| Hexadecimal (base 16) | CDD0 |
| Base 3 | 2200021102 |
| As time | 52688 seconds = 14 h 38 min 8 s |
Is 52688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52688 ÷ 2 = 26344) | 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 (52688 ÷ 4 = 13172) | 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 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 | Yes (52688 ÷ 8 = 6586) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 52688 a prime number?
No. 52688 = × 37 × 89, so it is divisible by 2.
What are the factors of 52688?
1, 2, 4, 8, 16, 37, 74, 89, 148, 178, 296, 356, 592, 712, 1424, 3293, 6586, 13172, 26344, 52688.
What is 52688 in binary?
1100110111010000 (hexadecimal CDD0, octal 146720).
What is the square root of 52688?
About 229.5387, exactly 4√3293.
Is 52688 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 52688?
52688 is a happy number: repeatedly adding the squares of its digits reaches 1.