The number 3078
3078 is a composite number with 20 divisors. Its prime factorisation is 2 × × 19. Divisors (20): 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342 … 3078.
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How to work it out
- 1
What is special about 3078: a Harshad number: divisible by its digit sum 18.
- 2
3078 is composite. Its prime factorisation is
- 3
The divisors add up to 7260; without 3078 itself that is 4182, so 3078 is abundant (4182 is more than 3078). Euler's totient φ(3078) = 972 numbers up to 3078 share no factor with it.
- 4
The digits of 3078 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3078 = 2 \times 3^{4} \times 19 \]3078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 7260 |
| Euler totient φ(n) | 972 |
| Square | 9474084 |
| Cube | 29161230552 |
| Square root | 55.479726 (= 9√38) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.078 × |
3078 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventy-eight |
| Roman numerals | MMMLXXVIII |
| Binary (base 2) | 110000000110 |
| Octal (base 8) | 6006 |
| Hexadecimal (base 16) | C06 |
| Base 3 | 11020000 |
| As time | 3078 seconds = 51 min 18 s |
Is 3078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3078 ÷ 2 = 1539) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3078 ÷ 3 = 1026) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3078 ÷ 6 = 513) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3078 ÷ 9 = 342) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 3078 a prime number?
No. 3078 = 2 × × 19, so it is divisible by 2.
What are the factors of 3078?
1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078.
What is 3078 in binary?
110000000110 (hexadecimal C06, octal 6006).
What is the square root of 3078?
About 55.4797, exactly 9√38.
What is 3078 in Roman numerals?
MMMLXXVIII.
Is 3078 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3078?
3078 is a Harshad number: divisible by its digit sum 18.