The number 49735
49735 is a composite number with 16 divisors. Its prime factorisation is 5 × × 29. Divisors (16): 1, 5, 7, 29, 35, 49, 145, 203, 245, 343, 1015, 1421, 1715, 7105, 9947, 49735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49735 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49735 is composite. Its prime factorisation is
- 3
The divisors add up to 72000; without 49735 itself that is 22265, so 49735 is deficient (22265 is less than 49735). Euler's totient φ(49735) = 32928 numbers up to 49735 share no factor with it.
- 4
The digits of 49735 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49735 = 5 \times 7^{3} \times 29 \]49735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72000 |
| Euler totient φ(n) | 32928 |
| Square | 2473570225 |
| Cube | 123023015140375 |
| Square root | 223.013453 (= 7√1015) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9735 × |
49735 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and thirty-five |
| Binary (base 2) | 1100001001000111 |
| Octal (base 8) | 141107 |
| Hexadecimal (base 16) | C247 |
| Base 3 | 2112020001 |
| As time | 49735 seconds = 13 h 48 min 55 s |
Is 49735 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 1) | 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 | Yes (49735 ÷ 5 = 9947) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49735 ÷ 7 = 7105) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49735 a prime number?
No. 49735 = 5 × × 29, so it is divisible by 5.
What are the factors of 49735?
1, 5, 7, 29, 35, 49, 145, 203, 245, 343, 1015, 1421, 1715, 7105, 9947, 49735.
What is 49735 in binary?
1100001001000111 (hexadecimal C247, octal 141107).
What is the square root of 49735?
About 223.0135, exactly 7√1015.
Is 49735 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49735?
It is a composite number with 16 divisors.