The number 3042
3042 is a composite number with 18 divisors. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014 … 3042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3042: a Harshad number: divisible by its digit sum 9.
- 2
3042 is composite. Its prime factorisation is
- 3
The divisors add up to 7137; without 3042 itself that is 4095, so 3042 is abundant (4095 is more than 3042). Euler's totient φ(3042) = 936 numbers up to 3042 share no factor with it.
- 4
The digits of 3042 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3042 = 2 \times 3^{2} \times 13^{2} \]3042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7137 |
| Euler totient φ(n) | 936 |
| Square | 9253764 |
| Cube | 28149950088 |
| Square root | 55.154329 (= 39√2) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.042 × |
3042 in other forms
| Form | Value |
|---|---|
| In words | three thousand and forty-two |
| Roman numerals | MMMXLII |
| Binary (base 2) | 101111100010 |
| Octal (base 8) | 5742 |
| Hexadecimal (base 16) | BE2 |
| Base 3 | 11011200 |
| As time | 3042 seconds = 50 min 42 s |
Is 3042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3042 ÷ 2 = 1521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3042 ÷ 3 = 1014) | 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 | Yes (3042 ÷ 6 = 507) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3042 ÷ 9 = 338) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3042 a prime number?
No. 3042 = 2 × × , so it is divisible by 2.
What are the factors of 3042?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042.
What is 3042 in binary?
101111100010 (hexadecimal BE2, octal 5742).
What is the square root of 3042?
About 55.1543, exactly 39√2.
What is 3042 in Roman numerals?
MMMXLII.
Is 3042 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3042?
3042 is a Harshad number: divisible by its digit sum 9.