The number 49599
49599 is a composite number with 16 divisors. Its prime factorisation is × 11 × 167. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 167, 297, 501, 1503, 1837, 4509, 5511, 16533, 49599.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49599 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49599 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 49599 itself that is 31041, so 49599 is deficient (31041 is less than 49599). Euler's totient φ(49599) = 29880 numbers up to 49599 share no factor with it.
- 4
The digits of 49599 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49599 = 3^{3} \times 11 \times 167 \]49599 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 29880 |
| Square | 2460060801 |
| Cube | 122016555668799 |
| Square root | 222.708329 (= 3√5511) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9599 × |
49599 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and ninety-nine |
| Binary (base 2) | 1100000110111111 |
| Octal (base 8) | 140677 |
| Hexadecimal (base 16) | C1BF |
| Base 3 | 2112001000 |
| As time | 49599 seconds = 13 h 46 min 39 s |
Is 49599 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 (49599 ÷ 3 = 16533) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49599 ÷ 9 = 5511) | 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 | Yes (49599 ÷ 11 = 4509) | 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 49599 a prime number?
No. 49599 = × 11 × 167, so it is divisible by 3.
What are the factors of 49599?
1, 3, 9, 11, 27, 33, 99, 167, 297, 501, 1503, 1837, 4509, 5511, 16533, 49599.
What is 49599 in binary?
1100000110111111 (hexadecimal C1BF, octal 140677).
What is the square root of 49599?
About 222.7083, exactly 3√5511.
Is 49599 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 49599?
It is a composite number with 16 divisors.