The number 4779
4779 is a composite number with 10 divisors. Its prime factorisation is × 59. Divisors (10): 1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4779: a Harshad number: divisible by its digit sum 27.
- 2
4779 is composite. Its prime factorisation is
- 3
The divisors add up to 7260; without 4779 itself that is 2481, so 4779 is deficient (2481 is less than 4779). Euler's totient φ(4779) = 3132 numbers up to 4779 share no factor with it.
- 4
The digits of 4779 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4779 = 3^{4} \times 59 \]4779 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 7260 |
| Euler totient φ(n) | 3132 |
| Square | 22838841 |
| Cube | 109146821139 |
| Square root | 69.130312 (= 9√59) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.779 × |
4779 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and seventy-nine |
| Binary (base 2) | 1001010101011 |
| Octal (base 8) | 11253 |
| Hexadecimal (base 16) | 12AB |
| Base 3 | 20120000 |
| As time | 4779 seconds = 1 h 19 min 39 s |
Is 4779 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 | Yes (4779 ÷ 3 = 1593) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4779 ÷ 9 = 531) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4779 a prime number?
No. 4779 = × 59, so it is divisible by 3.
What are the factors of 4779?
1, 3, 9, 27, 59, 81, 177, 531, 1593, 4779.
What is 4779 in binary?
1001010101011 (hexadecimal 12AB, octal 11253).
What is the square root of 4779?
About 69.1303, exactly 9√59.
Is 4779 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4779?
4779 is a Harshad number: divisible by its digit sum 27.