The number 3772
3772 is a composite number with 12 divisors. Its prime factorisation is × 23 × 41. Divisors (12): 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3772 is composite. Its prime factorisation is
- 3
The divisors add up to 7056; without 3772 itself that is 3284, so 3772 is deficient (3284 is less than 3772). Euler's totient φ(3772) = 1760 numbers up to 3772 share no factor with it.
- 4
The digits of 3772 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3772 = 2^{2} \times 23 \times 41 \]3772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7056 |
| Euler totient φ(n) | 1760 |
| Square | 14227984 |
| Cube | 53667955648 |
| Square root | 61.416610 (= 2√943) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.772 × |
3772 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seventy-two |
| Roman numerals | MMMDCCLXXII |
| Binary (base 2) | 111010111100 |
| Octal (base 8) | 7274 |
| Hexadecimal (base 16) | EBC |
| Base 3 | 12011201 |
| As time | 3772 seconds = 1 h 2 min 52 s |
Is 3772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3772 ÷ 2 = 1886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3772 ÷ 4 = 943) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3772 a prime number?
No. 3772 = × 23 × 41, so it is divisible by 2.
What are the factors of 3772?
1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772.
What is 3772 in binary?
111010111100 (hexadecimal EBC, octal 7274).
What is the square root of 3772?
About 61.4166, exactly 2√943.
What is 3772 in Roman numerals?
MMMDCCLXXII.
Is 3772 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3772?
It is a composite number with 12 divisors.