The number 13779
13779 is a composite number with 6 divisors. Its prime factorisation is × 1531. Divisors (6): 1, 3, 9, 1531, 4593, 13779.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13779 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13779 is composite. Its prime factorisation is
- 3
The divisors add up to 19916; without 13779 itself that is 6137, so 13779 is deficient (6137 is less than 13779). Euler's totient φ(13779) = 9180 numbers up to 13779 share no factor with it.
- 4
The digits of 13779 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13779 = 3^{2} \times 1531 \]13779 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19916 |
| Euler totient φ(n) | 9180 |
| Square | 189860841 |
| Cube | 2616092528139 |
| Square root | 117.383985 (= 3√1531) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3779 × |
13779 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventy-nine |
| Binary (base 2) | 11010111010011 |
| Octal (base 8) | 32723 |
| Hexadecimal (base 16) | 35D3 |
| Base 3 | 200220100 |
| As time | 13779 seconds = 3 h 49 min 39 s |
Is 13779 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 (13779 ÷ 3 = 4593) | 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 3) | 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 (13779 ÷ 9 = 1531) | 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 7) | 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 13779 a prime number?
No. 13779 = × 1531, so it is divisible by 3.
What are the factors of 13779?
1, 3, 9, 1531, 4593, 13779.
What is 13779 in binary?
11010111010011 (hexadecimal 35D3, octal 32723).
What is the square root of 13779?
About 117.3840, exactly 3√1531.
Is 13779 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13779?
It is a composite number with 6 divisors.