The number 13771
13771 is a composite number with 4 divisors. Its prime factorisation is 47 × 293. Divisors (4): 1, 47, 293, 13771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13771: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 293, the product of two primes.
- 2
13771 is composite. Its prime factorisation is
- 3
The divisors add up to 14112; without 13771 itself that is 341, so 13771 is deficient (341 is less than 13771). Euler's totient φ(13771) = 13432 numbers up to 13771 share no factor with it.
- 4
The digits of 13771 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13771 = 47 \times 293 \]
13771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14112 |
| Euler totient φ(n) | 13432 |
| Square | 189640441 |
| Cube | 2611538513011 |
| Square root | 117.349904 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3771 × |
13771 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventy-one |
| Binary (base 2) | 11010111001011 |
| Octal (base 8) | 32713 |
| Hexadecimal (base 16) | 35CB |
| Base 3 | 200220001 |
| As time | 13771 seconds = 3 h 49 min 31 s |
Is 13771 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 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 1) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13771 a prime number?
No. 13771 = 47 × 293, so it is divisible by 47.
What are the factors of 13771?
1, 47, 293, 13771.
What is 13771 in binary?
11010111001011 (hexadecimal 35CB, octal 32713).
What is the square root of 13771?
About 117.3499.
Is 13771 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13771?
13771 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 293, the product of two primes.