The number 47103
47103 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2243. Divisors (8): 1, 3, 7, 21, 2243, 6729, 15701, 47103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47103 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47103 is composite. Its prime factorisation is
- 3
The divisors add up to 71808; without 47103 itself that is 24705, so 47103 is deficient (24705 is less than 47103). Euler's totient φ(47103) = 26904 numbers up to 47103 share no factor with it.
- 4
The digits of 47103 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47103 = 3 \times 7 \times 2243 \]
47103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71808 |
| Euler totient φ(n) | 26904 |
| Square | 2218692609 |
| Cube | 104507077961727 |
| Square root | 217.032256 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7103 × |
47103 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and three |
| Binary (base 2) | 1011011111111111 |
| Octal (base 8) | 133777 |
| Hexadecimal (base 16) | B7FF |
| Base 3 | 2101121120 |
| As time | 47103 seconds = 13 h 5 min 3 s |
Is 47103 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 (47103 ÷ 3 = 15701) | 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 | No (remainder 3) | 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 | Yes (47103 ÷ 7 = 6729) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 47103 a prime number?
No. 47103 = 3 × 7 × 2243, so it is divisible by 3.
What are the factors of 47103?
1, 3, 7, 21, 2243, 6729, 15701, 47103.
What is 47103 in binary?
1011011111111111 (hexadecimal B7FF, octal 133777).
What is the square root of 47103?
About 217.0323.
Is 47103 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47103?
It is a composite number with 8 divisors.