The number 3774
3774 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 37. Divisors (16): 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3774 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3774 is composite. Its prime factorisation is
- 3
The divisors add up to 8208; without 3774 itself that is 4434, so 3774 is abundant (4434 is more than 3774). Euler's totient φ(3774) = 1152 numbers up to 3774 share no factor with it.
- 4
The digits of 3774 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3774 = 2 \times 3 \times 17 \times 37 \]
3774 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8208 |
| Euler totient φ(n) | 1152 |
| Square | 14243076 |
| Cube | 53753368824 |
| Square root | 61.432890 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.774 × |
3774 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-four |
| Roman numerals | MMMDCCLXXIV |
| Binary (base 2) | 111010111110 |
| Octal (base 8) | 7276 |
| Hexadecimal (base 16) | EBE |
| Base 3 | 12011210 |
| As time | 3774 seconds = 1 h 2 min 54 s |
Is 3774 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3774 ÷ 2 = 1887) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3774 ÷ 3 = 1258) | 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 (3774 ÷ 6 = 629) | 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 6) | 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 1) | 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 3774 a prime number?
No. 3774 = 2 × 3 × 17 × 37, so it is divisible by 2.
What are the factors of 3774?
1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774.
What is 3774 in binary?
111010111110 (hexadecimal EBE, octal 7276).
What is the square root of 3774?
About 61.4329.
What is 3774 in Roman numerals?
MMMDCCLXXIV.
Is 3774 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3774?
It is a composite number with 16 divisors.