The number 47420
47420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2371. Divisors (12): 1, 2, 4, 5, 10, 20, 2371, 4742, 9484, 11855, 23710, 47420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47420 is composite. Its prime factorisation is
- 3
The divisors add up to 99624; without 47420 itself that is 52204, so 47420 is abundant (52204 is more than 47420). Euler's totient φ(47420) = 18960 numbers up to 47420 share no factor with it.
- 4
The digits of 47420 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47420 = 2^{2} \times 5 \times 2371 \]47420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99624 |
| Euler totient φ(n) | 18960 |
| Square | 2248656400 |
| Cube | 106631286488000 |
| Square root | 217.761337 (= 2√11855) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.742 × |
47420 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and twenty |
| Binary (base 2) | 1011100100111100 |
| Octal (base 8) | 134474 |
| Hexadecimal (base 16) | B93C |
| Base 3 | 2102001022 |
| As time | 47420 seconds = 13 h 10 min 20 s |
Is 47420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47420 ÷ 2 = 23710) | 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 (47420 ÷ 4 = 11855) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47420 ÷ 5 = 9484) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47420 ÷ 10 = 4742) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 47420 a prime number?
No. 47420 = × 5 × 2371, so it is divisible by 2.
What are the factors of 47420?
1, 2, 4, 5, 10, 20, 2371, 4742, 9484, 11855, 23710, 47420.
What is 47420 in binary?
1011100100111100 (hexadecimal B93C, octal 134474).
What is the square root of 47420?
About 217.7613, exactly 2√11855.
Is 47420 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47420?
It is a composite number with 12 divisors.