The number 2990
2990 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 23. Divisors (16): 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2990 is composite. Its prime factorisation is
- 3
The divisors add up to 6048; without 2990 itself that is 3058, so 2990 is abundant (3058 is more than 2990). Euler's totient φ(2990) = 1056 numbers up to 2990 share no factor with it.
- 4
The digits of 2990 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2990 = 2 \times 5 \times 13 \times 23 \]
2990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6048 |
| Euler totient φ(n) | 1056 |
| Square | 8940100 |
| Cube | 26730899000 |
| Square root | 54.680892 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.99 × |
2990 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and ninety |
| Roman numerals | MMCMXC |
| Binary (base 2) | 101110101110 |
| Octal (base 8) | 5656 |
| Hexadecimal (base 16) | BAE |
| Base 3 | 11002202 |
| As time | 2990 seconds = 49 min 50 s |
Is 2990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2990 ÷ 2 = 1495) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2990 ÷ 5 = 598) | 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 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2990 ÷ 10 = 299) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2990 a prime number?
No. 2990 = 2 × 5 × 13 × 23, so it is divisible by 2.
What are the factors of 2990?
1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990.
What is 2990 in binary?
101110101110 (hexadecimal BAE, octal 5656).
What is the square root of 2990?
About 54.6809.
What is 2990 in Roman numerals?
MMCMXC.
Is 2990 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 2990?
It is a composite number with 16 divisors.