The number 4199
4199 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 19. Divisors (8): 1, 13, 17, 19, 221, 247, 323, 4199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4199 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4199 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 4199 itself that is 841, so 4199 is deficient (841 is less than 4199). Euler's totient φ(4199) = 3456 numbers up to 4199 share no factor with it.
- 4
The digits of 4199 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4199 = 13 \times 17 \times 19 \]
4199 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 3456 |
| Square | 17631601 |
| Cube | 74035092599 |
| Square root | 64.799691 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.199 × |
4199 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and ninety-nine |
| Binary (base 2) | 1000001100111 |
| Octal (base 8) | 10147 |
| Hexadecimal (base 16) | 1067 |
| Base 3 | 12202112 |
| As time | 4199 seconds = 1 h 9 min 59 s |
Is 4199 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4199 a prime number?
No. 4199 = 13 × 17 × 19, so it is divisible by 13.
What are the factors of 4199?
1, 13, 17, 19, 221, 247, 323, 4199.
What is 4199 in binary?
1000001100111 (hexadecimal 1067, octal 10147).
What is the square root of 4199?
About 64.7997.
Is 4199 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4199?
It is a composite number with 8 divisors.