The number 13983
13983 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 79. Divisors (8): 1, 3, 59, 79, 177, 237, 4661, 13983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13983 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13983 is composite. Its prime factorisation is
- 3
The divisors add up to 19200; without 13983 itself that is 5217, so 13983 is deficient (5217 is less than 13983). Euler's totient φ(13983) = 9048 numbers up to 13983 share no factor with it.
- 4
The digits of 13983 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13983 = 3 \times 59 \times 79 \]
13983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19200 |
| Euler totient φ(n) | 9048 |
| Square | 195524289 |
| Cube | 2734016133087 |
| Square root | 118.249736 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3983 × |
13983 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and eighty-three |
| Binary (base 2) | 11011010011111 |
| Octal (base 8) | 33237 |
| Hexadecimal (base 16) | 369F |
| Base 3 | 201011220 |
| As time | 13983 seconds = 3 h 53 min 3 s |
Is 13983 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 (13983 ÷ 3 = 4661) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13983 a prime number?
No. 13983 = 3 × 59 × 79, so it is divisible by 3.
What are the factors of 13983?
1, 3, 59, 79, 177, 237, 4661, 13983.
What is 13983 in binary?
11011010011111 (hexadecimal 369F, octal 33237).
What is the square root of 13983?
About 118.2497.
Is 13983 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13983?
It is a composite number with 8 divisors.