The number 38440
38440 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 961 … 38440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38440 is composite. Its prime factorisation is
- 3
The divisors add up to 89370; without 38440 itself that is 50930, so 38440 is abundant (50930 is more than 38440). Euler's totient φ(38440) = 14880 numbers up to 38440 share no factor with it.
- 4
The digits of 38440 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38440 = 2^{3} \times 5 \times 31^{2} \]38440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89370 |
| Euler totient φ(n) | 14880 |
| Square | 1477633600 |
| Cube | 56800235584000 |
| Square root | 196.061215 (= 62√10) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.844 × |
38440 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and forty |
| Binary (base 2) | 1001011000101000 |
| Octal (base 8) | 113050 |
| Hexadecimal (base 16) | 9628 |
| Base 3 | 1221201201 |
| As time | 38440 seconds = 10 h 40 min 40 s |
Is 38440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38440 ÷ 2 = 19220) | 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 (38440 ÷ 4 = 9610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38440 ÷ 5 = 7688) | 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 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 | Yes (38440 ÷ 8 = 4805) | 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 | Yes (38440 ÷ 10 = 3844) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 38440 a prime number?
No. 38440 = × 5 × , so it is divisible by 2.
What are the factors of 38440?
1, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 961, 1240, 1922, 3844, 4805, 7688, 9610, 19220, 38440.
What is 38440 in binary?
1001011000101000 (hexadecimal 9628, octal 113050).
What is the square root of 38440?
About 196.0612, exactly 62√10.
Is 38440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38440?
It is a composite number with 24 divisors.