The number 5780
5780 is a composite number with 18 divisors. Its prime factorisation is × 5 × . Divisors (18): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445 … 5780.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5780: a Harshad number: divisible by its digit sum 20.
- 2
5780 is composite. Its prime factorisation is
- 3
The divisors add up to 12894; without 5780 itself that is 7114, so 5780 is abundant (7114 is more than 5780). Euler's totient φ(5780) = 2176 numbers up to 5780 share no factor with it.
- 4
The digits of 5780 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5780 = 2^{2} \times 5 \times 17^{2} \]5780 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 12894 |
| Euler totient φ(n) | 2176 |
| Square | 33408400 |
| Cube | 193100552000 |
| Square root | 76.026311 (= 34√5) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.78 × |
5780 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eighty |
| Binary (base 2) | 1011010010100 |
| Octal (base 8) | 13224 |
| Hexadecimal (base 16) | 1694 |
| Base 3 | 21221002 |
| As time | 5780 seconds = 1 h 36 min 20 s |
Is 5780 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5780 ÷ 2 = 2890) | 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 | Yes (5780 ÷ 4 = 1445) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5780 ÷ 5 = 1156) | 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 5) | 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 4) | 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 (5780 ÷ 10 = 578) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5780 a prime number?
No. 5780 = × 5 × , so it is divisible by 2.
What are the factors of 5780?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780.
What is 5780 in binary?
1011010010100 (hexadecimal 1694, octal 13224).
What is the square root of 5780?
About 76.0263, exactly 34√5.
Is 5780 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5780?
5780 is a Harshad number: divisible by its digit sum 20.