The number 1674
1674 is a composite number with 16 divisors. Its prime factorisation is 2 × × 31. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1674: a Harshad number: divisible by its digit sum 18.
- 2
1674 is composite. Its prime factorisation is
- 3
The divisors add up to 3840; without 1674 itself that is 2166, so 1674 is abundant (2166 is more than 1674). Euler's totient φ(1674) = 540 numbers up to 1674 share no factor with it.
- 4
The digits of 1674 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1674 = 2 \times 3^{3} \times 31 \]1674 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3840 |
| Euler totient φ(n) | 540 |
| Square | 2802276 |
| Cube | 4691010024 |
| Square root | 40.914545 (= 3√186) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.674 × |
1674 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and seventy-four |
| Roman numerals | MDCLXXIV |
| Binary (base 2) | 11010001010 |
| Octal (base 8) | 3212 |
| Hexadecimal (base 16) | 68A |
| Base 3 | 2022000 |
| As time | 1674 seconds = 27 min 54 s |
Is 1674 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1674 ÷ 2 = 837) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1674 ÷ 3 = 558) | 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 (1674 ÷ 6 = 279) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (1674 ÷ 9 = 186) | 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 2) | 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 1674 a prime number?
No. 1674 = 2 × × 31, so it is divisible by 2.
What are the factors of 1674?
1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674.
What is 1674 in binary?
11010001010 (hexadecimal 68A, octal 3212).
What is the square root of 1674?
About 40.9145, exactly 3√186.
What is 1674 in Roman numerals?
MDCLXXIV.
Is 1674 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1674?
1674 is a Harshad number: divisible by its digit sum 18.