The number 38350
38350 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 59. Divisors (24): 1, 2, 5, 10, 13, 25, 26, 50, 59, 65, 118, 130, 295, 325, 590, 650 … 38350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38350 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38350 is composite. Its prime factorisation is
- 3
The divisors add up to 78120; without 38350 itself that is 39770, so 38350 is abundant (39770 is more than 38350). Euler's totient φ(38350) = 13920 numbers up to 38350 share no factor with it.
- 4
The digits of 38350 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 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38350 = 2 \times 5^{2} \times 13 \times 59 \]38350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78120 |
| Euler totient φ(n) | 13920 |
| Square | 1470722500 |
| Cube | 56402207875000 |
| Square root | 195.831560 (= 5√1534) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.835 × |
38350 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and fifty |
| Binary (base 2) | 1001010111001110 |
| Octal (base 8) | 112716 |
| Hexadecimal (base 16) | 95CE |
| Base 3 | 1221121101 |
| As time | 38350 seconds = 10 h 39 min 10 s |
Is 38350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38350 ÷ 2 = 19175) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38350 ÷ 5 = 7670) | 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 | No (remainder 6) | 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 (38350 ÷ 10 = 3835) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38350 a prime number?
No. 38350 = 2 × × 13 × 59, so it is divisible by 2.
What are the factors of 38350?
1, 2, 5, 10, 13, 25, 26, 50, 59, 65, 118, 130, 295, 325, 590, 650, 767, 1475, 1534, 2950, 3835, 7670, 19175, 38350.
What is 38350 in binary?
1001010111001110 (hexadecimal 95CE, octal 112716).
What is the square root of 38350?
About 195.8316, exactly 5√1534.
Is 38350 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38350?
It is a composite number with 24 divisors.