The number 3992
3992 is a composite number with 8 divisors. Its prime factorisation is × 499. Divisors (8): 1, 2, 4, 8, 499, 998, 1996, 3992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3992 is composite. Its prime factorisation is
- 3
The divisors add up to 7500; without 3992 itself that is 3508, so 3992 is deficient (3508 is less than 3992). Euler's totient φ(3992) = 1992 numbers up to 3992 share no factor with it.
- 4
The digits of 3992 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3992 = 2^{3} \times 499 \]3992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7500 |
| Euler totient φ(n) | 1992 |
| Square | 15936064 |
| Cube | 63616767488 |
| Square root | 63.182276 (= 2√998) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.992 × |
3992 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and ninety-two |
| Roman numerals | MMMCMXCII |
| Binary (base 2) | 111110011000 |
| Octal (base 8) | 7630 |
| Hexadecimal (base 16) | F98 |
| Base 3 | 12110212 |
| As time | 3992 seconds = 1 h 6 min 32 s |
Is 3992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3992 ÷ 2 = 1996) | 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 (3992 ÷ 4 = 998) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (3992 ÷ 8 = 499) | 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 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3992 a prime number?
No. 3992 = × 499, so it is divisible by 2.
What are the factors of 3992?
1, 2, 4, 8, 499, 998, 1996, 3992.
What is 3992 in binary?
111110011000 (hexadecimal F98, octal 7630).
What is the square root of 3992?
About 63.1823, exactly 2√998.
What is 3992 in Roman numerals?
MMMCMXCII.
Is 3992 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3992?
It is a composite number with 8 divisors.