The number 1078
1078 is a composite number with 12 divisors. Its prime factorisation is 2 × × 11. Divisors (12): 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1078 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1078 is composite. Its prime factorisation is
- 3
The divisors add up to 2052; without 1078 itself that is 974, so 1078 is deficient (974 is less than 1078). Euler's totient φ(1078) = 420 numbers up to 1078 share no factor with it.
- 4
The digits of 1078 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1078 = 2 \times 7^{2} \times 11 \]1078 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2052 |
| Euler totient φ(n) | 420 |
| Square | 1162084 |
| Cube | 1252726552 |
| Square root | 32.832910 (= 7√22) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 1.078 × |
1078 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seventy-eight |
| Roman numerals | MLXXVIII |
| Binary (base 2) | 10000110110 |
| Octal (base 8) | 2066 |
| Hexadecimal (base 16) | 436 |
| Base 3 | 1110221 |
| As time | 1078 seconds = 17 min 58 s |
Is 1078 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1078 ÷ 2 = 539) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1078 ÷ 7 = 154) | 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 | No (remainder 7) | 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 | Yes (1078 ÷ 11 = 98) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1078 a prime number?
No. 1078 = 2 × × 11, so it is divisible by 2.
What are the factors of 1078?
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078.
What is 1078 in binary?
10000110110 (hexadecimal 436, octal 2066).
What is the square root of 1078?
About 32.8329, exactly 7√22.
What is 1078 in Roman numerals?
MLXXVIII.
Is 1078 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1078?
It is a composite number with 12 divisors.