The number 47720
47720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1193. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1193, 2386, 4772, 5965, 9544, 11930, 23860, 47720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47720: a Harshad number: divisible by its digit sum 20.
- 2
47720 is composite. Its prime factorisation is
- 3
The divisors add up to 107460; without 47720 itself that is 59740, so 47720 is abundant (59740 is more than 47720). Euler's totient φ(47720) = 19072 numbers up to 47720 share no factor with it.
- 4
The digits of 47720 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47720 = 2^{3} \times 5 \times 1193 \]47720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107460 |
| Euler totient φ(n) | 19072 |
| Square | 2277198400 |
| Cube | 108667907648000 |
| Square root | 218.449079 (= 2√11930) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.772 × |
47720 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty |
| Binary (base 2) | 1011101001101000 |
| Octal (base 8) | 135150 |
| Hexadecimal (base 16) | BA68 |
| Base 3 | 2102110102 |
| As time | 47720 seconds = 13 h 15 min 20 s |
Is 47720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47720 ÷ 2 = 23860) | 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 (47720 ÷ 4 = 11930) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47720 ÷ 5 = 9544) | 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 1) | 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 (47720 ÷ 8 = 5965) | 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 | Yes (47720 ÷ 10 = 4772) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 47720 a prime number?
No. 47720 = × 5 × 1193, so it is divisible by 2.
What are the factors of 47720?
1, 2, 4, 5, 8, 10, 20, 40, 1193, 2386, 4772, 5965, 9544, 11930, 23860, 47720.
What is 47720 in binary?
1011101001101000 (hexadecimal BA68, octal 135150).
What is the square root of 47720?
About 218.4491, exactly 2√11930.
Is 47720 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47720?
47720 is a Harshad number: divisible by its digit sum 20.