The number 16124
16124 is a composite number with 12 divisors. Its prime factorisation is × 29 × 139. Divisors (12): 1, 2, 4, 29, 58, 116, 139, 278, 556, 4031, 8062, 16124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16124 is composite. Its prime factorisation is
- 3
The divisors add up to 29400; without 16124 itself that is 13276, so 16124 is deficient (13276 is less than 16124). Euler's totient φ(16124) = 7728 numbers up to 16124 share no factor with it.
- 4
The digits of 16124 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16124 = 2^{2} \times 29 \times 139 \]16124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29400 |
| Euler totient φ(n) | 7728 |
| Square | 259983376 |
| Cube | 4191971954624 |
| Square root | 126.980313 (= 2√4031) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6124 × |
16124 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and twenty-four |
| Binary (base 2) | 11111011111100 |
| Octal (base 8) | 37374 |
| Hexadecimal (base 16) | 3EFC |
| Base 3 | 211010012 |
| As time | 16124 seconds = 4 h 28 min 44 s |
Is 16124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16124 ÷ 2 = 8062) | 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 (16124 ÷ 4 = 4031) | 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 3) | 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 5) | 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 9) | 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 16124 a prime number?
No. 16124 = × 29 × 139, so it is divisible by 2.
What are the factors of 16124?
1, 2, 4, 29, 58, 116, 139, 278, 556, 4031, 8062, 16124.
What is 16124 in binary?
11111011111100 (hexadecimal 3EFC, octal 37374).
What is the square root of 16124?
About 126.9803, exactly 2√4031.
Is 16124 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16124?
It is a composite number with 12 divisors.