The number 47628
47628 is a composite number with 54 divisors. Its prime factorisation is × × . Divisors (54): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49 … 47628.
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How to work it out
- 1
What is special about 47628: a Harshad number: divisible by its digit sum 27.
- 2
47628 is composite. Its prime factorisation is
- 3
The divisors add up to 145236; without 47628 itself that is 97608, so 47628 is abundant (97608 is more than 47628). Euler's totient φ(47628) = 13608 numbers up to 47628 share no factor with it.
- 4
The digits of 47628 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47628 = 2^{2} \times 3^{5} \times 7^{2} \]47628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 145236 |
| Euler totient φ(n) | 13608 |
| Square | 2268426384 |
| Cube | 108040611817152 |
| Square root | 218.238402 (= 126√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7628 × |
47628 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and twenty-eight |
| Binary (base 2) | 1011101000001100 |
| Octal (base 8) | 135014 |
| Hexadecimal (base 16) | BA0C |
| Base 3 | 2102100000 |
| As time | 47628 seconds = 13 h 13 min 48 s |
Is 47628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47628 ÷ 2 = 23814) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47628 ÷ 3 = 15876) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47628 ÷ 4 = 11907) | 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 | Yes (47628 ÷ 6 = 7938) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47628 ÷ 7 = 6804) | 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 | Yes (47628 ÷ 9 = 5292) | 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 | Yes (47628 ÷ 12 = 3969) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47628 a prime number?
No. 47628 = × × , so it is divisible by 2.
What are the factors of 47628?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 81, 84, 98, 108, 126, 147, 162, 189, 196, 243, 252, 294, 324, 378, 441, 486, 567, 588, 756, 882, 972, 1134, 1323, 1701, 1764, 2268, 2646, 3402, 3969, 5292, 6804, 7938, 11907, 15876, 23814, 47628.
What is 47628 in binary?
1011101000001100 (hexadecimal BA0C, octal 135014).
What is the square root of 47628?
About 218.2384, exactly 126√3.
Is 47628 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47628?
47628 is a Harshad number: divisible by its digit sum 27.