The number 13124
13124 is a composite number with 12 divisors. Its prime factorisation is × 17 × 193. Divisors (12): 1, 2, 4, 17, 34, 68, 193, 386, 772, 3281, 6562, 13124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13124: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13124 is composite. Its prime factorisation is
- 3
The divisors add up to 24444; without 13124 itself that is 11320, so 13124 is deficient (11320 is less than 13124). Euler's totient φ(13124) = 6144 numbers up to 13124 share no factor with it.
- 4
The digits of 13124 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13124 = 2^{2} \times 17 \times 193 \]13124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24444 |
| Euler totient φ(n) | 6144 |
| Square | 172239376 |
| Cube | 2260469570624 |
| Square root | 114.560028 (= 2√3281) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3124 × |
13124 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and twenty-four |
| Binary (base 2) | 11001101000100 |
| Octal (base 8) | 31504 |
| Hexadecimal (base 16) | 3344 |
| Base 3 | 200000002 |
| As time | 13124 seconds = 3 h 38 min 44 s |
Is 13124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13124 ÷ 2 = 6562) | 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 | Yes (13124 ÷ 4 = 3281) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13124 a prime number?
No. 13124 = × 17 × 193, so it is divisible by 2.
What are the factors of 13124?
1, 2, 4, 17, 34, 68, 193, 386, 772, 3281, 6562, 13124.
What is 13124 in binary?
11001101000100 (hexadecimal 3344, octal 31504).
What is the square root of 13124?
About 114.5600, exactly 2√3281.
Is 13124 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13124?
13124 is a happy number: repeatedly adding the squares of its digits reaches 1.