The number 47702
47702 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 23 × 61. Divisors (16): 1, 2, 17, 23, 34, 46, 61, 122, 391, 782, 1037, 1403, 2074, 2806, 23851, 47702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47702 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47702 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 47702 itself that is 32650, so 47702 is deficient (32650 is less than 47702). Euler's totient φ(47702) = 21120 numbers up to 47702 share no factor with it.
- 4
The digits of 47702 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47702 = 2 \times 17 \times 23 \times 61 \]
47702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 21120 |
| Square | 2275480804 |
| Cube | 108544985312408 |
| Square root | 218.407875 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7702 × |
47702 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and two |
| Binary (base 2) | 1011101001010110 |
| Octal (base 8) | 135126 |
| Hexadecimal (base 16) | BA56 |
| Base 3 | 2102102202 |
| As time | 47702 seconds = 13 h 15 min 2 s |
Is 47702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47702 ÷ 2 = 23851) | 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 | 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 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47702 a prime number?
No. 47702 = 2 × 17 × 23 × 61, so it is divisible by 2.
What are the factors of 47702?
1, 2, 17, 23, 34, 46, 61, 122, 391, 782, 1037, 1403, 2074, 2806, 23851, 47702.
What is 47702 in binary?
1011101001010110 (hexadecimal BA56, octal 135126).
What is the square root of 47702?
About 218.4079.
Is 47702 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47702?
It is a composite number with 16 divisors.