The number 38124
38124 is a composite number with 24 divisors. Its prime factorisation is × × 353. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 353, 706, 1059, 1412 … 38124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38124: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
38124 is composite. Its prime factorisation is
- 3
The divisors add up to 99120; without 38124 itself that is 60996, so 38124 is abundant (60996 is more than 38124). Euler's totient φ(38124) = 12672 numbers up to 38124 share no factor with it.
- 4
The digits of 38124 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38124 = 2^{2} \times 3^{3} \times 353 \]38124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99120 |
| Euler totient φ(n) | 12672 |
| Square | 1453439376 |
| Cube | 55410922770624 |
| Square root | 195.253681 (= 6√1059) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8124 × |
38124 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twenty-four |
| Binary (base 2) | 1001010011101100 |
| Octal (base 8) | 112354 |
| Hexadecimal (base 16) | 94EC |
| Base 3 | 1221022000 |
| As time | 38124 seconds = 10 h 35 min 24 s |
Is 38124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38124 ÷ 2 = 19062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38124 ÷ 3 = 12708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38124 ÷ 4 = 9531) | 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 (38124 ÷ 6 = 6354) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (38124 ÷ 9 = 4236) | 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 | Yes (38124 ÷ 12 = 3177) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38124 a prime number?
No. 38124 = × × 353, so it is divisible by 2.
What are the factors of 38124?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 353, 706, 1059, 1412, 2118, 3177, 4236, 6354, 9531, 12708, 19062, 38124.
What is 38124 in binary?
1001010011101100 (hexadecimal 94EC, octal 112354).
What is the square root of 38124?
About 195.2537, exactly 6√1059.
Is 38124 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38124?
38124 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.