The number 2390
2390 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 239. Divisors (8): 1, 2, 5, 10, 239, 478, 1195, 2390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2390: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2390 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 2390 itself that is 1930, so 2390 is deficient (1930 is less than 2390). Euler's totient φ(2390) = 952 numbers up to 2390 share no factor with it.
- 4
The digits of 2390 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2390 = 2 \times 5 \times 239 \]
2390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 952 |
| Square | 5712100 |
| Cube | 13651919000 |
| Square root | 48.887626 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.39 × |
2390 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and ninety |
| Roman numerals | MMCCCXC |
| Binary (base 2) | 100101010110 |
| Octal (base 8) | 4526 |
| Hexadecimal (base 16) | 956 |
| Base 3 | 10021112 |
| As time | 2390 seconds = 39 min 50 s |
Is 2390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2390 ÷ 2 = 1195) | 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 (2390 ÷ 5 = 478) | 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 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 | No (remainder 6) | 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 | Yes (2390 ÷ 10 = 239) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 2390 a prime number?
No. 2390 = 2 × 5 × 239, so it is divisible by 2.
What are the factors of 2390?
1, 2, 5, 10, 239, 478, 1195, 2390.
What is 2390 in binary?
100101010110 (hexadecimal 956, octal 4526).
What is the square root of 2390?
About 48.8876.
What is 2390 in Roman numerals?
MMCCCXC.
Is 2390 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2390?
2390 is a happy number: repeatedly adding the squares of its digits reaches 1.