The number 1074
1074 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 179. Divisors (8): 1, 2, 3, 6, 179, 358, 537, 1074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1074 is composite. Its prime factorisation is
- 3
The divisors add up to 2160; without 1074 itself that is 1086, so 1074 is abundant (1086 is more than 1074). Euler's totient φ(1074) = 356 numbers up to 1074 share no factor with it.
- 4
The digits of 1074 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1074 = 2 \times 3 \times 179 \]
1074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2160 |
| Euler totient φ(n) | 356 |
| Square | 1153476 |
| Cube | 1238833224 |
| Square root | 32.771939 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.074 × |
1074 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seventy-four |
| Roman numerals | MLXXIV |
| Binary (base 2) | 10000110010 |
| Octal (base 8) | 2062 |
| Hexadecimal (base 16) | 432 |
| Base 3 | 1110210 |
| As time | 1074 seconds = 17 min 54 s |
Is 1074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1074 ÷ 2 = 537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1074 ÷ 3 = 358) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1074 ÷ 6 = 179) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1074 a prime number?
No. 1074 = 2 × 3 × 179, so it is divisible by 2.
What are the factors of 1074?
1, 2, 3, 6, 179, 358, 537, 1074.
What is 1074 in binary?
10000110010 (hexadecimal 432, octal 2062).
What is the square root of 1074?
About 32.7719.
What is 1074 in Roman numerals?
MLXXIV.
Is 1074 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1074?
It is a composite number with 8 divisors.