The number 2590
2590 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 37. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2590 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 2590 itself that is 2882, so 2590 is abundant (2882 is more than 2590). Euler's totient φ(2590) = 864 numbers up to 2590 share no factor with it.
- 4
The digits of 2590 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2590 = 2 \times 5 \times 7 \times 37 \]
2590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 864 |
| Square | 6708100 |
| Cube | 17373979000 |
| Square root | 50.892043 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.59 × |
2590 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and ninety |
| Roman numerals | MMDXC |
| Binary (base 2) | 101000011110 |
| Octal (base 8) | 5036 |
| Hexadecimal (base 16) | A1E |
| Base 3 | 10112221 |
| As time | 2590 seconds = 43 min 10 s |
Is 2590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2590 ÷ 2 = 1295) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2590 ÷ 5 = 518) | 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 | Yes (2590 ÷ 7 = 370) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2590 ÷ 10 = 259) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2590 a prime number?
No. 2590 = 2 × 5 × 7 × 37, so it is divisible by 2.
What are the factors of 2590?
1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590.
What is 2590 in binary?
101000011110 (hexadecimal A1E, octal 5036).
What is the square root of 2590?
About 50.8920.
What is 2590 in Roman numerals?
MMDXC.
Is 2590 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2590?
It is a composite number with 16 divisors.