The number 47200
47200 is a composite number with 36 divisors. Its prime factorisation is × × 59. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 80, 100, 118 … 47200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47200 is composite. Its prime factorisation is
- 3
The divisors add up to 117180; without 47200 itself that is 69980, so 47200 is abundant (69980 is more than 47200). Euler's totient φ(47200) = 18560 numbers up to 47200 share no factor with it.
- 4
The digits of 47200 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47200 = 2^{5} \times 5^{2} \times 59 \]47200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 117180 |
| Euler totient φ(n) | 18560 |
| Square | 2227840000 |
| Cube | 105154048000000 |
| Square root | 217.255610 (= 20√118) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.72 × |
47200 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred |
| Binary (base 2) | 1011100001100000 |
| Octal (base 8) | 134140 |
| Hexadecimal (base 16) | B860 |
| Base 3 | 2101202011 |
| As time | 47200 seconds = 13 h 6 min 40 s |
Is 47200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47200 ÷ 2 = 23600) | 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 (47200 ÷ 4 = 11800) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47200 ÷ 5 = 9440) | 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 6) | 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 (47200 ÷ 8 = 5900) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47200 ÷ 10 = 4720) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47200 a prime number?
No. 47200 = × × 59, so it is divisible by 2.
What are the factors of 47200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 59, 80, 100, 118, 160, 200, 236, 295, 400, 472, 590, 800, 944, 1180, 1475, 1888, 2360, 2950, 4720, 5900, 9440, 11800, 23600, 47200.
What is 47200 in binary?
1011100001100000 (hexadecimal B860, octal 134140).
What is the square root of 47200?
About 217.2556, exactly 20√118.
Is 47200 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 47200?
It is a composite number with 36 divisors.