The number 3776
3776 is a composite number with 14 divisors. Its prime factorisation is × 59. Divisors (14): 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3776 is composite. Its prime factorisation is
- 3
The divisors add up to 7620; without 3776 itself that is 3844, so 3776 is abundant (3844 is more than 3776). Euler's totient φ(3776) = 1856 numbers up to 3776 share no factor with it.
- 4
The digits of 3776 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3776 = 2^{6} \times 59 \]3776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 7620 |
| Euler totient φ(n) | 1856 |
| Square | 14258176 |
| Cube | 53838872576 |
| Square root | 61.449166 (= 8√59) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.776 × |
3776 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-six |
| Roman numerals | MMMDCCLXXVI |
| Binary (base 2) | 111011000000 |
| Octal (base 8) | 7300 |
| Hexadecimal (base 16) | EC0 |
| Base 3 | 12011212 |
| As time | 3776 seconds = 1 h 2 min 56 s |
Is 3776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3776 ÷ 2 = 1888) | 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 (3776 ÷ 4 = 944) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (3776 ÷ 8 = 472) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 3776 a prime number?
No. 3776 = × 59, so it is divisible by 2.
What are the factors of 3776?
1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776.
What is 3776 in binary?
111011000000 (hexadecimal EC0, octal 7300).
What is the square root of 3776?
About 61.4492, exactly 8√59.
What is 3776 in Roman numerals?
MMMDCCLXXVI.
Is 3776 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3776?
It is a composite number with 14 divisors.