The number 38388
38388 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 457. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828 … 38388.
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How to work it out
- 1
38388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38388 is composite. Its prime factorisation is
- 3
The divisors add up to 102592; without 38388 itself that is 64204, so 38388 is abundant (64204 is more than 38388). Euler's totient φ(38388) = 10944 numbers up to 38388 share no factor with it.
- 4
The digits of 38388 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38388 = 2^{2} \times 3 \times 7 \times 457 \]38388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102592 |
| Euler totient φ(n) | 10944 |
| Square | 1473638544 |
| Cube | 56570036427072 |
| Square root | 195.928558 (= 2√9597) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8388 × |
38388 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and eighty-eight |
| Binary (base 2) | 1001010111110100 |
| Octal (base 8) | 112764 |
| Hexadecimal (base 16) | 95F4 |
| Base 3 | 1221122210 |
| As time | 38388 seconds = 10 h 39 min 48 s |
Is 38388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38388 ÷ 2 = 19194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38388 ÷ 3 = 12796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38388 ÷ 4 = 9597) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38388 ÷ 6 = 6398) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38388 ÷ 7 = 5484) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (38388 ÷ 12 = 3199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38388 a prime number?
No. 38388 = × 3 × 7 × 457, so it is divisible by 2.
What are the factors of 38388?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 457, 914, 1371, 1828, 2742, 3199, 5484, 6398, 9597, 12796, 19194, 38388.
What is 38388 in binary?
1001010111110100 (hexadecimal 95F4, octal 112764).
What is the square root of 38388?
About 195.9286, exactly 2√9597.
Is 38388 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38388?
It is a composite number with 24 divisors.