The number 47652
47652 is a composite number with 36 divisors. Its prime factorisation is × 3 × 11 × . Divisors (36): 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114 … 47652.
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How to work it out
- 1
What is special about 47652: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47652 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 47652 itself that is 80364, so 47652 is abundant (80364 is more than 47652). Euler's totient φ(47652) = 13680 numbers up to 47652 share no factor with it.
- 4
The digits of 47652 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47652 = 2^{2} \times 3 \times 11 \times 19^{2} \]47652 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 13680 |
| Square | 2270713104 |
| Cube | 108204020831808 |
| Square root | 218.293381 (= 38√33) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.7652 × |
47652 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and fifty-two |
| Binary (base 2) | 1011101000100100 |
| Octal (base 8) | 135044 |
| Hexadecimal (base 16) | BA24 |
| Base 3 | 2102100220 |
| As time | 47652 seconds = 13 h 14 min 12 s |
Is 47652 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47652 ÷ 2 = 23826) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47652 ÷ 3 = 15884) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47652 ÷ 4 = 11913) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47652 ÷ 6 = 7942) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47652 ÷ 11 = 4332) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47652 ÷ 12 = 3971) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47652 a prime number?
No. 47652 = × 3 × 11 × , so it is divisible by 2.
What are the factors of 47652?
1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 361, 418, 627, 722, 836, 1083, 1254, 1444, 2166, 2508, 3971, 4332, 7942, 11913, 15884, 23826, 47652.
What is 47652 in binary?
1011101000100100 (hexadecimal BA24, octal 135044).
What is the square root of 47652?
About 218.2934, exactly 38√33.
Is 47652 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47652?
47652 is a happy number: repeatedly adding the squares of its digits reaches 1.