The number 42903
42903 is a composite number with 16 divisors. Its prime factorisation is × 7 × 227. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 227, 681, 1589, 2043, 4767, 6129, 14301, 42903.
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How to work it out
- 1
42903 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42903 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 42903 itself that is 30057, so 42903 is deficient (30057 is less than 42903). Euler's totient φ(42903) = 24408 numbers up to 42903 share no factor with it.
- 4
The digits of 42903 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42903 = 3^{3} \times 7 \times 227 \]42903 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 24408 |
| Square | 1840667409 |
| Cube | 78970153848327 |
| Square root | 207.130394 (= 3√4767) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2903 × |
42903 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and three |
| Binary (base 2) | 1010011110010111 |
| Octal (base 8) | 123627 |
| Hexadecimal (base 16) | A797 |
| Base 3 | 2011212000 |
| As time | 42903 seconds = 11 h 55 min 3 s |
Is 42903 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 (42903 ÷ 3 = 14301) | 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 (42903 ÷ 7 = 6129) | 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 | Yes (42903 ÷ 9 = 4767) | 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 3) | 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 42903 a prime number?
No. 42903 = × 7 × 227, so it is divisible by 3.
What are the factors of 42903?
1, 3, 7, 9, 21, 27, 63, 189, 227, 681, 1589, 2043, 4767, 6129, 14301, 42903.
What is 42903 in binary?
1010011110010111 (hexadecimal A797, octal 123627).
What is the square root of 42903?
About 207.1304, exactly 3√4767.
Is 42903 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42903?
It is a composite number with 16 divisors.