The number 47802
47802 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 257. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901, 47802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47802: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47802 is composite. Its prime factorisation is
- 3
The divisors add up to 99072; without 47802 itself that is 51270, so 47802 is abundant (51270 is more than 47802). Euler's totient φ(47802) = 15360 numbers up to 47802 share no factor with it.
- 4
The digits of 47802 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47802 = 2 \times 3 \times 31 \times 257 \]
47802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99072 |
| Euler totient φ(n) | 15360 |
| Square | 2285031204 |
| Cube | 109229061613608 |
| Square root | 218.636685 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7802 × |
47802 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and two |
| Binary (base 2) | 1011101010111010 |
| Octal (base 8) | 135272 |
| Hexadecimal (base 16) | BABA |
| Base 3 | 2102120110 |
| As time | 47802 seconds = 13 h 16 min 42 s |
Is 47802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47802 ÷ 2 = 23901) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47802 ÷ 3 = 15934) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47802 ÷ 6 = 7967) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47802 a prime number?
No. 47802 = 2 × 3 × 31 × 257, so it is divisible by 2.
What are the factors of 47802?
1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901, 47802.
What is 47802 in binary?
1011101010111010 (hexadecimal BABA, octal 135272).
What is the square root of 47802?
About 218.6367.
Is 47802 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47802?
47802 is a happy number: repeatedly adding the squares of its digits reaches 1.