The number 13923
13923 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 17. Divisors (24): 1, 3, 7, 9, 13, 17, 21, 39, 51, 63, 91, 117, 119, 153, 221, 273 … 13923.
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How to work it out
- 1
13923 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13923 is composite. Its prime factorisation is
- 3
The divisors add up to 26208; without 13923 itself that is 12285, so 13923 is deficient (12285 is less than 13923). Euler's totient φ(13923) = 6912 numbers up to 13923 share no factor with it.
- 4
The digits of 13923 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13923 = 3^{2} \times 7 \times 13 \times 17 \]13923 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 26208 |
| Euler totient φ(n) | 6912 |
| Square | 193849929 |
| Cube | 2698972561467 |
| Square root | 117.995763 (= 3√1547) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3923 × |
13923 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and twenty-three |
| Binary (base 2) | 11011001100011 |
| Octal (base 8) | 33143 |
| Hexadecimal (base 16) | 3663 |
| Base 3 | 201002200 |
| As time | 13923 seconds = 3 h 52 min 3 s |
Is 13923 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 (13923 ÷ 3 = 4641) | 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 | Yes (13923 ÷ 7 = 1989) | 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 | Yes (13923 ÷ 9 = 1547) | 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 8) | 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 13923 a prime number?
No. 13923 = × 7 × 13 × 17, so it is divisible by 3.
What are the factors of 13923?
1, 3, 7, 9, 13, 17, 21, 39, 51, 63, 91, 117, 119, 153, 221, 273, 357, 663, 819, 1071, 1547, 1989, 4641, 13923.
What is 13923 in binary?
11011001100011 (hexadecimal 3663, octal 33143).
What is the square root of 13923?
About 117.9958, exactly 3√1547.
Is 13923 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13923?
It is a composite number with 24 divisors.