The number 49793
49793 is a composite number with 8 divisors. Its prime factorisation is 17 × 29 × 101. Divisors (8): 1, 17, 29, 101, 493, 1717, 2929, 49793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49793: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49793 is composite. Its prime factorisation is
- 3
The divisors add up to 55080; without 49793 itself that is 5287, so 49793 is deficient (5287 is less than 49793). Euler's totient φ(49793) = 44800 numbers up to 49793 share no factor with it.
- 4
The digits of 49793 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49793 = 17 \times 29 \times 101 \]
49793 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55080 |
| Euler totient φ(n) | 44800 |
| Square | 2479342849 |
| Cube | 123453918480257 |
| Square root | 223.143452 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 4.9793 × |
49793 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and ninety-three |
| Binary (base 2) | 1100001010000001 |
| Octal (base 8) | 141201 |
| Hexadecimal (base 16) | C281 |
| Base 3 | 2112022012 |
| As time | 49793 seconds = 13 h 49 min 53 s |
Is 49793 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49793 a prime number?
No. 49793 = 17 × 29 × 101, so it is divisible by 17.
What are the factors of 49793?
1, 17, 29, 101, 493, 1717, 2929, 49793.
What is 49793 in binary?
1100001010000001 (hexadecimal C281, octal 141201).
What is the square root of 49793?
About 223.1435.
Is 49793 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49793?
49793 is a happy number: repeatedly adding the squares of its digits reaches 1.