The number 20124
20124 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 43. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 43, 52, 78, 86 … 20124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20124: a Harshad number: divisible by its digit sum 9.
- 2
20124 is composite. Its prime factorisation is
- 3
The divisors add up to 56056; without 20124 itself that is 35932, so 20124 is abundant (35932 is more than 20124). Euler's totient φ(20124) = 6048 numbers up to 20124 share no factor with it.
- 4
The digits of 20124 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20124 = 2^{2} \times 3^{2} \times 13 \times 43 \]20124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 56056 |
| Euler totient φ(n) | 6048 |
| Square | 404975376 |
| Cube | 8149724466624 |
| Square root | 141.859085 (= 6√559) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0124 × |
20124 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and twenty-four |
| Binary (base 2) | 100111010011100 |
| Octal (base 8) | 47234 |
| Hexadecimal (base 16) | 4E9C |
| Base 3 | 1000121100 |
| As time | 20124 seconds = 5 h 35 min 24 s |
Is 20124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20124 ÷ 2 = 10062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20124 ÷ 3 = 6708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20124 ÷ 4 = 5031) | 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 | Yes (20124 ÷ 6 = 3354) | 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 | Yes (20124 ÷ 9 = 2236) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20124 ÷ 12 = 1677) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20124 a prime number?
No. 20124 = × × 13 × 43, so it is divisible by 2.
What are the factors of 20124?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 43, 52, 78, 86, 117, 129, 156, 172, 234, 258, 387, 468, 516, 559, 774, 1118, 1548, 1677, 2236, 3354, 5031, 6708, 10062, 20124.
What is 20124 in binary?
100111010011100 (hexadecimal 4E9C, octal 47234).
What is the square root of 20124?
About 141.8591, exactly 6√559.
Is 20124 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20124?
20124 is a Harshad number: divisible by its digit sum 9.