The number 42003
42003 is a composite number with 12 divisors. Its prime factorisation is × 13 × 359. Divisors (12): 1, 3, 9, 13, 39, 117, 359, 1077, 3231, 4667, 14001, 42003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42003: a Harshad number: divisible by its digit sum 9.
- 2
42003 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 42003 itself that is 23517, so 42003 is deficient (23517 is less than 42003). Euler's totient φ(42003) = 25776 numbers up to 42003 share no factor with it.
- 4
The digits of 42003 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42003 = 3^{2} \times 13 \times 359 \]42003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 25776 |
| Square | 1764252009 |
| Cube | 74103877134027 |
| Square root | 204.946334 (= 3√4667) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2003 × |
42003 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and three |
| Binary (base 2) | 1010010000010011 |
| Octal (base 8) | 122023 |
| Hexadecimal (base 16) | A413 |
| Base 3 | 2010121200 |
| As time | 42003 seconds = 11 h 40 min 3 s |
Is 42003 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 (42003 ÷ 3 = 14001) | 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 | No (remainder 3) | 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 | Yes (42003 ÷ 9 = 4667) | 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 5) | 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 42003 a prime number?
No. 42003 = × 13 × 359, so it is divisible by 3.
What are the factors of 42003?
1, 3, 9, 13, 39, 117, 359, 1077, 3231, 4667, 14001, 42003.
What is 42003 in binary?
1010010000010011 (hexadecimal A413, octal 122023).
What is the square root of 42003?
About 204.9463, exactly 3√4667.
Is 42003 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42003?
42003 is a Harshad number: divisible by its digit sum 9.