The number 13763
13763 is the 1629th prime number. Its only divisors are 1 and 13763.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13763: the 1629th prime number.
- 2
13763 is prime, so its only factors are 1 and 13763. It is the 1629th prime; the next prime is 13781 and the one before is 13759.
- 3
The divisors add up to 13764; without 13763 itself that is 1, so 13763 is deficient (1 is less than 13763). Euler's totient φ(13763) = 13762 numbers up to 13763 share no factor with it.
- 4
The digits of 13763 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
13763 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13764 |
| Euler totient φ(n) | 13762 |
| Square | 189420169 |
| Cube | 2606989785947 |
| Square root | 117.315813 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3763 × |
13763 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixty-three |
| Binary (base 2) | 11010111000011 |
| Octal (base 8) | 32703 |
| Hexadecimal (base 16) | 35C3 |
| Base 3 | 200212202 |
| As time | 13763 seconds = 3 h 49 min 23 s |
Is 13763 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13763 a prime number?
Yes. 13763 is divisible only by 1 and itself.
What are the factors of 13763?
1, 13763.
What is 13763 in binary?
11010111000011 (hexadecimal 35C3, octal 32703).
What is the square root of 13763?
About 117.3158.
Is 13763 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13763?
13763 is the 1629th prime number.