The number 2992
2992 is a palindrome: it reads 2992 backwards too. Its prime factorisation is × 11 × 17. Divisors (20): 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272 … 2992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2992: a palindrome: it reads 2992 backwards too; a Harshad number: divisible by its digit sum 22.
- 2
2992 is composite. Its prime factorisation is
- 3
The divisors add up to 6696; without 2992 itself that is 3704, so 2992 is abundant (3704 is more than 2992). Euler's totient φ(2992) = 1280 numbers up to 2992 share no factor with it.
- 4
The digits of 2992 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2992 = 2^{4} \times 11 \times 17 \]2992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 6696 |
| Euler totient φ(n) | 1280 |
| Square | 8952064 |
| Cube | 26784575488 |
| Square root | 54.699177 (= 4√187) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.992 × |
2992 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-two |
| Roman numerals | MMCMXCII |
| Binary (base 2) | 101110110000 |
| Octal (base 8) | 5660 |
| Hexadecimal (base 16) | BB0 |
| Base 3 | 11002211 |
| As time | 2992 seconds = 49 min 52 s |
Is 2992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2992 ÷ 2 = 1496) | 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 (2992 ÷ 4 = 748) | 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 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 (2992 ÷ 8 = 374) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (2992 ÷ 11 = 272) | 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 2992 a prime number?
No. 2992 = × 11 × 17, so it is divisible by 2.
What are the factors of 2992?
1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992.
What is 2992 in binary?
101110110000 (hexadecimal BB0, octal 5660).
What is the square root of 2992?
About 54.6992, exactly 4√187.
What is 2992 in Roman numerals?
MMCMXCII.
Is 2992 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 2992?
2992 is a palindrome: it reads 2992 backwards too; a Harshad number: divisible by its digit sum 22.