The number 13761
13761 is a composite number with 12 divisors. Its prime factorisation is × 11 × 139. Divisors (12): 1, 3, 9, 11, 33, 99, 139, 417, 1251, 1529, 4587, 13761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13761 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13761 is composite. Its prime factorisation is
- 3
The divisors add up to 21840; without 13761 itself that is 8079, so 13761 is deficient (8079 is less than 13761). Euler's totient φ(13761) = 8280 numbers up to 13761 share no factor with it.
- 4
The digits of 13761 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13761 = 3^{2} \times 11 \times 139 \]13761 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21840 |
| Euler totient φ(n) | 8280 |
| Square | 189365121 |
| Cube | 2605853430081 |
| Square root | 117.307289 (= 3√1529) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3761 × |
13761 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-one |
| Binary (base 2) | 11010111000001 |
| Octal (base 8) | 32701 |
| Hexadecimal (base 16) | 35C1 |
| Base 3 | 200212200 |
| As time | 13761 seconds = 3 h 49 min 21 s |
Is 13761 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 (13761 ÷ 3 = 4587) | 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 1) | 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 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13761 ÷ 9 = 1529) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13761 ÷ 11 = 1251) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13761 a prime number?
No. 13761 = × 11 × 139, so it is divisible by 3.
What are the factors of 13761?
1, 3, 9, 11, 33, 99, 139, 417, 1251, 1529, 4587, 13761.
What is 13761 in binary?
11010111000001 (hexadecimal 35C1, octal 32701).
What is the square root of 13761?
About 117.3073, exactly 3√1529.
Is 13761 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13761?
It is a composite number with 12 divisors.