The number 4789
4789 is a twin prime (4787 and 4789 are both prime) and the 644th prime number. Its only divisors are 1 and 4789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4789: a twin prime (4787 and 4789 are both prime); the 644th prime number.
- 2
4789 is prime, so its only factors are 1 and 4789. It is the 644th prime; the next prime is 4793 and the one before is 4787.
- 3
The divisors add up to 4790; without 4789 itself that is 1, so 4789 is deficient (1 is less than 4789). Euler's totient φ(4789) = 4788 numbers up to 4789 share no factor with it.
- 4
The digits of 4789 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
4789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4790 |
| Euler totient φ(n) | 4788 |
| Square | 22934521 |
| Cube | 109833421069 |
| Square root | 69.202601 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.789 × |
4789 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eighty-nine |
| Binary (base 2) | 1001010110101 |
| Octal (base 8) | 11265 |
| Hexadecimal (base 16) | 12B5 |
| Base 3 | 20120101 |
| As time | 4789 seconds = 1 h 19 min 49 s |
Is 4789 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4789 a prime number?
Yes. 4789 is divisible only by 1 and itself.
What are the factors of 4789?
1, 4789.
What is 4789 in binary?
1001010110101 (hexadecimal 12B5, octal 11265).
What is the square root of 4789?
About 69.2026.
Is 4789 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 4789?
4789 is a twin prime (4787 and 4789 are both prime); the 644th prime number.