The number 38412
38412 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 97. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 97, 99 … 38412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38412: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
38412 is composite. Its prime factorisation is
- 3
The divisors add up to 107016; without 38412 itself that is 68604, so 38412 is abundant (68604 is more than 38412). Euler's totient φ(38412) = 11520 numbers up to 38412 share no factor with it.
- 4
The digits of 38412 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38412 = 2^{2} \times 3^{2} \times 11 \times 97 \]38412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 107016 |
| Euler totient φ(n) | 11520 |
| Square | 1475481744 |
| Cube | 56676204750528 |
| Square root | 195.989796 (= 6√1067) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.8412 × |
38412 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and twelve |
| Binary (base 2) | 1001011000001100 |
| Octal (base 8) | 113014 |
| Hexadecimal (base 16) | 960C |
| Base 3 | 1221200200 |
| As time | 38412 seconds = 10 h 40 min 12 s |
Is 38412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38412 ÷ 2 = 19206) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38412 ÷ 3 = 12804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38412 ÷ 4 = 9603) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38412 ÷ 6 = 6402) | 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 | Yes (38412 ÷ 9 = 4268) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38412 ÷ 11 = 3492) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38412 ÷ 12 = 3201) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38412 a prime number?
No. 38412 = × × 11 × 97, so it is divisible by 2.
What are the factors of 38412?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 97, 99, 132, 194, 198, 291, 388, 396, 582, 873, 1067, 1164, 1746, 2134, 3201, 3492, 4268, 6402, 9603, 12804, 19206, 38412.
What is 38412 in binary?
1001011000001100 (hexadecimal 960C, octal 113014).
What is the square root of 38412?
About 195.9898, exactly 6√1067.
Is 38412 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38412?
38412 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.