The number 38224
38224 is a composite number with 10 divisors. Its prime factorisation is × 2389. Divisors (10): 1, 2, 4, 8, 16, 2389, 4778, 9556, 19112, 38224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38224: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38224 is composite. Its prime factorisation is
- 3
The divisors add up to 74090; without 38224 itself that is 35866, so 38224 is deficient (35866 is less than 38224). Euler's totient φ(38224) = 19104 numbers up to 38224 share no factor with it.
- 4
The digits of 38224 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38224 = 2^{4} \times 2389 \]38224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 74090 |
| Euler totient φ(n) | 19104 |
| Square | 1461074176 |
| Cube | 55848099303424 |
| Square root | 195.509591 (= 4√2389) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 31 |
| Scientific notation | 3.8224 × |
38224 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and twenty-four |
| Binary (base 2) | 1001010101010000 |
| Octal (base 8) | 112520 |
| Hexadecimal (base 16) | 9550 |
| Base 3 | 1221102201 |
| As time | 38224 seconds = 10 h 37 min 4 s |
Is 38224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38224 ÷ 2 = 19112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38224 ÷ 4 = 9556) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (38224 ÷ 8 = 4778) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38224 a prime number?
No. 38224 = × 2389, so it is divisible by 2.
What are the factors of 38224?
1, 2, 4, 8, 16, 2389, 4778, 9556, 19112, 38224.
What is 38224 in binary?
1001010101010000 (hexadecimal 9550, octal 112520).
What is the square root of 38224?
About 195.5096, exactly 4√2389.
Is 38224 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38224?
38224 is a happy number: repeatedly adding the squares of its digits reaches 1.