The number 47955
47955 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 23 × 139. Divisors (16): 1, 3, 5, 15, 23, 69, 115, 139, 345, 417, 695, 2085, 3197, 9591, 15985, 47955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47955 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 47955 itself that is 32685, so 47955 is deficient (32685 is less than 47955). Euler's totient φ(47955) = 24288 numbers up to 47955 share no factor with it.
- 4
The digits of 47955 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47955 = 3 \times 5 \times 23 \times 139 \]
47955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 24288 |
| Square | 2299682025 |
| Cube | 110281251508875 |
| Square root | 218.986301 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7955 × |
47955 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and fifty-five |
| Binary (base 2) | 1011101101010011 |
| Octal (base 8) | 135523 |
| Hexadecimal (base 16) | BB53 |
| Base 3 | 2102210010 |
| As time | 47955 seconds = 13 h 19 min 15 s |
Is 47955 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47955 ÷ 3 = 15985) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47955 ÷ 5 = 9591) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47955 a prime number?
No. 47955 = 3 × 5 × 23 × 139, so it is divisible by 3.
What are the factors of 47955?
1, 3, 5, 15, 23, 69, 115, 139, 345, 417, 695, 2085, 3197, 9591, 15985, 47955.
What is 47955 in binary?
1011101101010011 (hexadecimal BB53, octal 135523).
What is the square root of 47955?
About 218.9863.
Is 47955 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47955?
It is a composite number with 16 divisors.