The number 5789
5789 is a composite number with 4 divisors. Its prime factorisation is 7 × 827. Divisors (4): 1, 7, 827, 5789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5789: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 827, the product of two primes.
- 2
5789 is composite. Its prime factorisation is
- 3
The divisors add up to 6624; without 5789 itself that is 835, so 5789 is deficient (835 is less than 5789). Euler's totient φ(5789) = 4956 numbers up to 5789 share no factor with it.
- 4
The digits of 5789 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5789 = 7 \times 827 \]
5789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6624 |
| Euler totient φ(n) | 4956 |
| Square | 33512521 |
| Cube | 194003984069 |
| Square root | 76.085478 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.789 × |
5789 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eighty-nine |
| Binary (base 2) | 1011010011101 |
| Octal (base 8) | 13235 |
| Hexadecimal (base 16) | 169D |
| Base 3 | 21221102 |
| As time | 5789 seconds = 1 h 36 min 29 s |
Is 5789 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (5789 ÷ 7 = 827) | 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 5) | 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 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5789 a prime number?
No. 5789 = 7 × 827, so it is divisible by 7.
What are the factors of 5789?
1, 7, 827, 5789.
What is 5789 in binary?
1011010011101 (hexadecimal 169D, octal 13235).
What is the square root of 5789?
About 76.0855.
Is 5789 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 5789?
5789 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 827, the product of two primes.