The number 47028
47028 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3919. Divisors (12): 1, 2, 3, 4, 6, 12, 3919, 7838, 11757, 15676, 23514, 47028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47028: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47028 is composite. Its prime factorisation is
- 3
The divisors add up to 109760; without 47028 itself that is 62732, so 47028 is abundant (62732 is more than 47028). Euler's totient φ(47028) = 15672 numbers up to 47028 share no factor with it.
- 4
The digits of 47028 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47028 = 2^{2} \times 3 \times 3919 \]47028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109760 |
| Euler totient φ(n) | 15672 |
| Square | 2211632784 |
| Cube | 104008666565952 |
| Square root | 216.859401 (= 2√11757) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7028 × |
47028 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and twenty-eight |
| Binary (base 2) | 1011011110110100 |
| Octal (base 8) | 133664 |
| Hexadecimal (base 16) | B7B4 |
| Base 3 | 2101111210 |
| As time | 47028 seconds = 13 h 3 min 48 s |
Is 47028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47028 ÷ 2 = 23514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47028 ÷ 3 = 15676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47028 ÷ 4 = 11757) | 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 (47028 ÷ 6 = 7838) | 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 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47028 ÷ 12 = 3919) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47028 a prime number?
No. 47028 = × 3 × 3919, so it is divisible by 2.
What are the factors of 47028?
1, 2, 3, 4, 6, 12, 3919, 7838, 11757, 15676, 23514, 47028.
What is 47028 in binary?
1011011110110100 (hexadecimal B7B4, octal 133664).
What is the square root of 47028?
About 216.8594, exactly 2√11757.
Is 47028 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47028?
47028 is a happy number: repeatedly adding the squares of its digits reaches 1.