The number 38199
38199 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 107. Divisors (16): 1, 3, 7, 17, 21, 51, 107, 119, 321, 357, 749, 1819, 2247, 5457, 12733, 38199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38199: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38199 is composite. Its prime factorisation is
- 3
The divisors add up to 62208; without 38199 itself that is 24009, so 38199 is deficient (24009 is less than 38199). Euler's totient φ(38199) = 20352 numbers up to 38199 share no factor with it.
- 4
The digits of 38199 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38199 = 3 \times 7 \times 17 \times 107 \]
38199 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62208 |
| Euler totient φ(n) | 20352 |
| Square | 1459163601 |
| Cube | 55738590394599 |
| Square root | 195.445645 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8199 × |
38199 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and ninety-nine |
| Binary (base 2) | 1001010100110111 |
| Octal (base 8) | 112467 |
| Hexadecimal (base 16) | 9537 |
| Base 3 | 1221101210 |
| As time | 38199 seconds = 10 h 36 min 39 s |
Is 38199 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38199 ÷ 3 = 12733) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38199 ÷ 7 = 5457) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38199 a prime number?
No. 38199 = 3 × 7 × 17 × 107, so it is divisible by 3.
What are the factors of 38199?
1, 3, 7, 17, 21, 51, 107, 119, 321, 357, 749, 1819, 2247, 5457, 12733, 38199.
What is 38199 in binary?
1001010100110111 (hexadecimal 9537, octal 112467).
What is the square root of 38199?
About 195.4456.
Is 38199 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38199?
38199 is a happy number: repeatedly adding the squares of its digits reaches 1.