The number 49725
49725 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 17. Divisors (36): 1, 3, 5, 9, 13, 15, 17, 25, 39, 45, 51, 65, 75, 85, 117, 153 … 49725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49725 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 49725 itself that is 51831, so 49725 is abundant (51831 is more than 49725). Euler's totient φ(49725) = 23040 numbers up to 49725 share no factor with it.
- 4
The digits of 49725 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49725 = 3^{2} \times 5^{2} \times 13 \times 17 \]49725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 23040 |
| Square | 2472575625 |
| Cube | 122948822953125 |
| Square root | 222.991031 (= 15√221) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9725 × |
49725 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and twenty-five |
| Binary (base 2) | 1100001000111101 |
| Octal (base 8) | 141075 |
| Hexadecimal (base 16) | C23D |
| Base 3 | 2112012200 |
| As time | 49725 seconds = 13 h 48 min 45 s |
Is 49725 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 (49725 ÷ 3 = 16575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49725 ÷ 5 = 9945) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49725 ÷ 9 = 5525) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49725 a prime number?
No. 49725 = × × 13 × 17, so it is divisible by 3.
What are the factors of 49725?
1, 3, 5, 9, 13, 15, 17, 25, 39, 45, 51, 65, 75, 85, 117, 153, 195, 221, 225, 255, 325, 425, 585, 663, 765, 975, 1105, 1275, 1989, 2925, 3315, 3825, 5525, 9945, 16575, 49725.
What is 49725 in binary?
1100001000111101 (hexadecimal C23D, octal 141075).
What is the square root of 49725?
About 222.9910, exactly 15√221.
Is 49725 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49725?
It is a composite number with 36 divisors.