The number 47140
47140 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2357. Divisors (12): 1, 2, 4, 5, 10, 20, 2357, 4714, 9428, 11785, 23570, 47140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47140: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47140 is composite. Its prime factorisation is
- 3
The divisors add up to 99036; without 47140 itself that is 51896, so 47140 is abundant (51896 is more than 47140). Euler's totient φ(47140) = 18848 numbers up to 47140 share no factor with it.
- 4
The digits of 47140 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47140 = 2^{2} \times 5 \times 2357 \]47140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99036 |
| Euler totient φ(n) | 18848 |
| Square | 2222179600 |
| Cube | 104753546344000 |
| Square root | 217.117480 (= 2√11785) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.714 × |
47140 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty |
| Binary (base 2) | 1011100000100100 |
| Octal (base 8) | 134044 |
| Hexadecimal (base 16) | B824 |
| Base 3 | 2101122221 |
| As time | 47140 seconds = 13 h 5 min 40 s |
Is 47140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47140 ÷ 2 = 23570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47140 ÷ 4 = 11785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47140 ÷ 5 = 9428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47140 ÷ 10 = 4714) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47140 a prime number?
No. 47140 = × 5 × 2357, so it is divisible by 2.
What are the factors of 47140?
1, 2, 4, 5, 10, 20, 2357, 4714, 9428, 11785, 23570, 47140.
What is 47140 in binary?
1011100000100100 (hexadecimal B824, octal 134044).
What is the square root of 47140?
About 217.1175, exactly 2√11785.
Is 47140 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47140?
47140 is a happy number: repeatedly adding the squares of its digits reaches 1.