The number 13783
13783 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 179. Divisors (8): 1, 7, 11, 77, 179, 1253, 1969, 13783.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13783 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13783 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 13783 itself that is 3497, so 13783 is deficient (3497 is less than 13783). Euler's totient φ(13783) = 10680 numbers up to 13783 share no factor with it.
- 4
The digits of 13783 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13783 = 7 \times 11 \times 179 \]
13783 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 10680 |
| Square | 189971089 |
| Cube | 2618371519687 |
| Square root | 117.401022 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3783 × |
13783 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and eighty-three |
| Binary (base 2) | 11010111010111 |
| Octal (base 8) | 32727 |
| Hexadecimal (base 16) | 35D7 |
| Base 3 | 200220111 |
| As time | 13783 seconds = 3 h 49 min 43 s |
Is 13783 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 3) | 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 | Yes (13783 ÷ 7 = 1969) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (13783 ÷ 11 = 1253) | 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 13783 a prime number?
No. 13783 = 7 × 11 × 179, so it is divisible by 7.
What are the factors of 13783?
1, 7, 11, 77, 179, 1253, 1969, 13783.
What is 13783 in binary?
11010111010111 (hexadecimal 35D7, octal 32727).
What is the square root of 13783?
About 117.4010.
Is 13783 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13783?
It is a composite number with 8 divisors.