The number 47800
47800 is a composite number with 24 divisors. Its prime factorisation is × × 239. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 239, 478, 956, 1195 … 47800.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47800: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47800 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 47800 itself that is 63800, so 47800 is abundant (63800 is more than 47800). Euler's totient φ(47800) = 19040 numbers up to 47800 share no factor with it.
- 4
The digits of 47800 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47800 = 2^{3} \times 5^{2} \times 239 \]47800 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 19040 |
| Square | 2284840000 |
| Cube | 109215352000000 |
| Square root | 218.632111 (= 10√478) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.78 × |
47800 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred |
| Binary (base 2) | 1011101010111000 |
| Octal (base 8) | 135270 |
| Hexadecimal (base 16) | BAB8 |
| Base 3 | 2102120101 |
| As time | 47800 seconds = 13 h 16 min 40 s |
Is 47800 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47800 ÷ 2 = 23900) | 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 (47800 ÷ 4 = 11950) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47800 ÷ 5 = 9560) | 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 4) | 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 (47800 ÷ 8 = 5975) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47800 ÷ 10 = 4780) | 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 47800 a prime number?
No. 47800 = × × 239, so it is divisible by 2.
What are the factors of 47800?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 239, 478, 956, 1195, 1912, 2390, 4780, 5975, 9560, 11950, 23900, 47800.
What is 47800 in binary?
1011101010111000 (hexadecimal BAB8, octal 135270).
What is the square root of 47800?
About 218.6321, exactly 10√478.
Is 47800 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47800?
47800 is a happy number: repeatedly adding the squares of its digits reaches 1.