The number 38522
38522 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 103. Divisors (16): 1, 2, 11, 17, 22, 34, 103, 187, 206, 374, 1133, 1751, 2266, 3502, 19261, 38522.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38522 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38522 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 38522 itself that is 28870, so 38522 is deficient (28870 is less than 38522). Euler's totient φ(38522) = 16320 numbers up to 38522 share no factor with it.
- 4
The digits of 38522 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38522 = 2 \times 11 \times 17 \times 103 \]
38522 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 16320 |
| Square | 1483944484 |
| Cube | 57164509412648 |
| Square root | 196.270222 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8522 × |
38522 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and twenty-two |
| Binary (base 2) | 1001011001111010 |
| Octal (base 8) | 113172 |
| Hexadecimal (base 16) | 967A |
| Base 3 | 1221211202 |
| As time | 38522 seconds = 10 h 42 min 2 s |
Is 38522 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38522 ÷ 2 = 19261) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 (38522 ÷ 11 = 3502) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38522 a prime number?
No. 38522 = 2 × 11 × 17 × 103, so it is divisible by 2.
What are the factors of 38522?
1, 2, 11, 17, 22, 34, 103, 187, 206, 374, 1133, 1751, 2266, 3502, 19261, 38522.
What is 38522 in binary?
1001011001111010 (hexadecimal 967A, octal 113172).
What is the square root of 38522?
About 196.2702.
Is 38522 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38522?
It is a composite number with 16 divisors.