The number 3764
3764 is a composite number with 6 divisors. Its prime factorisation is × 941. Divisors (6): 1, 2, 4, 941, 1882, 3764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3764 is composite. Its prime factorisation is
- 3
The divisors add up to 6594; without 3764 itself that is 2830, so 3764 is deficient (2830 is less than 3764). Euler's totient φ(3764) = 1880 numbers up to 3764 share no factor with it.
- 4
The digits of 3764 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3764 = 2^{2} \times 941 \]3764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6594 |
| Euler totient φ(n) | 1880 |
| Square | 14167696 |
| Cube | 53327207744 |
| Square root | 61.351447 (= 2√941) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.764 × |
3764 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-four |
| Roman numerals | MMMDCCLXIV |
| Binary (base 2) | 111010110100 |
| Octal (base 8) | 7264 |
| Hexadecimal (base 16) | EB4 |
| Base 3 | 12011102 |
| As time | 3764 seconds = 1 h 2 min 44 s |
Is 3764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3764 ÷ 2 = 1882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3764 ÷ 4 = 941) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3764 a prime number?
No. 3764 = × 941, so it is divisible by 2.
What are the factors of 3764?
1, 2, 4, 941, 1882, 3764.
What is 3764 in binary?
111010110100 (hexadecimal EB4, octal 7264).
What is the square root of 3764?
About 61.3514, exactly 2√941.
What is 3764 in Roman numerals?
MMMDCCLXIV.
Is 3764 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3764?
It is a composite number with 6 divisors.