The number 5090
5090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 509. Divisors (8): 1, 2, 5, 10, 509, 1018, 2545, 5090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5090 is composite. Its prime factorisation is
- 3
The divisors add up to 9180; without 5090 itself that is 4090, so 5090 is deficient (4090 is less than 5090). Euler's totient φ(5090) = 2032 numbers up to 5090 share no factor with it.
- 4
The digits of 5090 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5090 = 2 \times 5 \times 509 \]
5090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9180 |
| Euler totient φ(n) | 2032 |
| Square | 25908100 |
| Cube | 131872229000 |
| Square root | 71.344236 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.09 × |
5090 in other forms
| Form | Value |
|---|---|
| In words | five thousand and ninety |
| Binary (base 2) | 1001111100010 |
| Octal (base 8) | 11742 |
| Hexadecimal (base 16) | 13E2 |
| Base 3 | 20222112 |
| As time | 5090 seconds = 1 h 24 min 50 s |
Is 5090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5090 ÷ 2 = 2545) | 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 (5090 ÷ 5 = 1018) | 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 2) | 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 (5090 ÷ 10 = 509) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 5090 a prime number?
No. 5090 = 2 × 5 × 509, so it is divisible by 2.
What are the factors of 5090?
1, 2, 5, 10, 509, 1018, 2545, 5090.
What is 5090 in binary?
1001111100010 (hexadecimal 13E2, octal 11742).
What is the square root of 5090?
About 71.3442.
Is 5090 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5090?
It is a composite number with 8 divisors.