The number 5790
5790 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 193. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5790 is composite. Its prime factorisation is
- 3
The divisors add up to 13968; without 5790 itself that is 8178, so 5790 is abundant (8178 is more than 5790). Euler's totient φ(5790) = 1536 numbers up to 5790 share no factor with it.
- 4
The digits of 5790 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5790 = 2 \times 3 \times 5 \times 193 \]
5790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13968 |
| Euler totient φ(n) | 1536 |
| Square | 33524100 |
| Cube | 194104539000 |
| Square root | 76.092050 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.79 × |
5790 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and ninety |
| Binary (base 2) | 1011010011110 |
| Octal (base 8) | 13236 |
| Hexadecimal (base 16) | 169E |
| Base 3 | 21221110 |
| As time | 5790 seconds = 1 h 36 min 30 s |
Is 5790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5790 ÷ 2 = 2895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5790 ÷ 3 = 1930) | 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 (5790 ÷ 5 = 1158) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5790 ÷ 6 = 965) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5790 ÷ 10 = 579) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5790 a prime number?
No. 5790 = 2 × 3 × 5 × 193, so it is divisible by 2.
What are the factors of 5790?
1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790.
What is 5790 in binary?
1011010011110 (hexadecimal 169E, octal 13236).
What is the square root of 5790?
About 76.0920.
Is 5790 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5790?
It is a composite number with 16 divisors.