The number 3792
3792 is a composite number with 20 divisors. Its prime factorisation is × 3 × 79. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632 … 3792.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3792 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3792 is composite. Its prime factorisation is
- 3
The divisors add up to 9920; without 3792 itself that is 6128, so 3792 is abundant (6128 is more than 3792). Euler's totient φ(3792) = 1248 numbers up to 3792 share no factor with it.
- 4
The digits of 3792 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
\[ 3792 = 2^{4} \times 3 \times 79 \]3792 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 9920 |
| Euler totient φ(n) | 1248 |
| Square | 14379264 |
| Cube | 54526169088 |
| Square root | 61.579217 (= 4√237) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.792 × |
3792 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and ninety-two |
| Roman numerals | MMMDCCXCII |
| Binary (base 2) | 111011010000 |
| Octal (base 8) | 7320 |
| Hexadecimal (base 16) | ED0 |
| Base 3 | 12012110 |
| As time | 3792 seconds = 1 h 3 min 12 s |
Is 3792 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3792 ÷ 2 = 1896) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3792 ÷ 3 = 1264) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3792 ÷ 4 = 948) | 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 | Yes (3792 ÷ 6 = 632) | 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 | Yes (3792 ÷ 8 = 474) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3792 ÷ 12 = 316) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3792 a prime number?
No. 3792 = × 3 × 79, so it is divisible by 2.
What are the factors of 3792?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792.
What is 3792 in binary?
111011010000 (hexadecimal ED0, octal 7320).
What is the square root of 3792?
About 61.5792, exactly 4√237.
What is 3792 in Roman numerals?
MMMDCCXCII.
Is 3792 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3792?
It is a composite number with 20 divisors.