The number 49300
49300 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 29. Divisors (36): 1, 2, 4, 5, 10, 17, 20, 25, 29, 34, 50, 58, 68, 85, 100, 116 … 49300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49300 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49300 is composite. Its prime factorisation is
- 3
The divisors add up to 117180; without 49300 itself that is 67880, so 49300 is abundant (67880 is more than 49300). Euler's totient φ(49300) = 17920 numbers up to 49300 share no factor with it.
- 4
The digits of 49300 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49300 = 2^{2} \times 5^{2} \times 17 \times 29 \]49300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 117180 |
| Euler totient φ(n) | 17920 |
| Square | 2430490000 |
| Cube | 119823157000000 |
| Square root | 222.036033 (= 10√493) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.93 × |
49300 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred |
| Binary (base 2) | 1100000010010100 |
| Octal (base 8) | 140224 |
| Hexadecimal (base 16) | C094 |
| Base 3 | 2111121221 |
| As time | 49300 seconds = 13 h 41 min 40 s |
Is 49300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49300 ÷ 2 = 24650) | 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 (49300 ÷ 4 = 12325) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49300 ÷ 5 = 9860) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49300 ÷ 10 = 4930) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49300 a prime number?
No. 49300 = × × 17 × 29, so it is divisible by 2.
What are the factors of 49300?
1, 2, 4, 5, 10, 17, 20, 25, 29, 34, 50, 58, 68, 85, 100, 116, 145, 170, 290, 340, 425, 493, 580, 725, 850, 986, 1450, 1700, 1972, 2465, 2900, 4930, 9860, 12325, 24650, 49300.
What is 49300 in binary?
1100000010010100 (hexadecimal C094, octal 140224).
What is the square root of 49300?
About 222.0360, exactly 10√493.
Is 49300 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 49300?
It is a composite number with 36 divisors.