The number 38172
38172 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3181. Divisors (12): 1, 2, 3, 4, 6, 12, 3181, 6362, 9543, 12724, 19086, 38172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38172 is composite. Its prime factorisation is
- 3
The divisors add up to 89096; without 38172 itself that is 50924, so 38172 is abundant (50924 is more than 38172). Euler's totient φ(38172) = 12720 numbers up to 38172 share no factor with it.
- 4
The digits of 38172 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38172 = 2^{2} \times 3 \times 3181 \]38172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89096 |
| Euler totient φ(n) | 12720 |
| Square | 1457101584 |
| Cube | 55620481664448 |
| Square root | 195.376559 (= 2√9543) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8172 × |
38172 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and seventy-two |
| Binary (base 2) | 1001010100011100 |
| Octal (base 8) | 112434 |
| Hexadecimal (base 16) | 951C |
| Base 3 | 1221100210 |
| As time | 38172 seconds = 10 h 36 min 12 s |
Is 38172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38172 ÷ 2 = 19086) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38172 ÷ 3 = 12724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38172 ÷ 4 = 9543) | 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 (38172 ÷ 6 = 6362) | 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 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38172 ÷ 12 = 3181) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38172 a prime number?
No. 38172 = × 3 × 3181, so it is divisible by 2.
What are the factors of 38172?
1, 2, 3, 4, 6, 12, 3181, 6362, 9543, 12724, 19086, 38172.
What is 38172 in binary?
1001010100011100 (hexadecimal 951C, octal 112434).
What is the square root of 38172?
About 195.3766, exactly 2√9543.
Is 38172 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38172?
It is a composite number with 12 divisors.