The number 38244
38244 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3187. Divisors (12): 1, 2, 3, 4, 6, 12, 3187, 6374, 9561, 12748, 19122, 38244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38244: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38244 is composite. Its prime factorisation is
- 3
The divisors add up to 89264; without 38244 itself that is 51020, so 38244 is abundant (51020 is more than 38244). Euler's totient φ(38244) = 12744 numbers up to 38244 share no factor with it.
- 4
The digits of 38244 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38244 = 2^{2} \times 3 \times 3187 \]38244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89264 |
| Euler totient φ(n) | 12744 |
| Square | 1462603536 |
| Cube | 55935809630784 |
| Square root | 195.560732 (= 2√9561) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8244 × |
38244 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and forty-four |
| Binary (base 2) | 1001010101100100 |
| Octal (base 8) | 112544 |
| Hexadecimal (base 16) | 9564 |
| Base 3 | 1221110110 |
| As time | 38244 seconds = 10 h 37 min 24 s |
Is 38244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38244 ÷ 2 = 19122) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38244 ÷ 3 = 12748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38244 ÷ 4 = 9561) | 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 (38244 ÷ 6 = 6374) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38244 ÷ 12 = 3187) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38244 a prime number?
No. 38244 = × 3 × 3187, so it is divisible by 2.
What are the factors of 38244?
1, 2, 3, 4, 6, 12, 3187, 6374, 9561, 12748, 19122, 38244.
What is 38244 in binary?
1001010101100100 (hexadecimal 9564, octal 112544).
What is the square root of 38244?
About 195.5607, exactly 2√9561.
Is 38244 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38244?
38244 is a happy number: repeatedly adding the squares of its digits reaches 1.