The number 2993
2993 is a composite number with 4 divisors. Its prime factorisation is 41 × 73. Divisors (4): 1, 41, 73, 2993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2993: a semiprime: 41 × 73, the product of two primes.
- 2
2993 is composite. Its prime factorisation is
- 3
The divisors add up to 3108; without 2993 itself that is 115, so 2993 is deficient (115 is less than 2993). Euler's totient φ(2993) = 2880 numbers up to 2993 share no factor with it.
- 4
The digits of 2993 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2993 = 41 \times 73 \]
2993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3108 |
| Euler totient φ(n) | 2880 |
| Square | 8958049 |
| Cube | 26811440657 |
| Square root | 54.708317 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.993 × |
2993 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety-three |
| Roman numerals | MMCMXCIII |
| Binary (base 2) | 101110110001 |
| Octal (base 8) | 5661 |
| Hexadecimal (base 16) | BB1 |
| Base 3 | 11002212 |
| As time | 2993 seconds = 49 min 53 s |
Is 2993 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2993 a prime number?
No. 2993 = 41 × 73, so it is divisible by 41.
What are the factors of 2993?
1, 41, 73, 2993.
What is 2993 in binary?
101110110001 (hexadecimal BB1, octal 5661).
What is the square root of 2993?
About 54.7083.
What is 2993 in Roman numerals?
MMCMXCIII.
Is 2993 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 2993?
2993 is a semiprime: 41 × 73, the product of two primes.