The number 49807
49807 is the 5115th prime number. Its only divisors are 1 and 49807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49807: the 5115th prime number.
- 2
49807 is prime, so its only factors are 1 and 49807. It is the 5115th prime; the next prime is 49811 and the one before is 49801.
- 3
The divisors add up to 49808; without 49807 itself that is 1, so 49807 is deficient (1 is less than 49807). Euler's totient φ(49807) = 49806 numbers up to 49807 share no factor with it.
- 4
The digits of 49807 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 140 steps to reach 1.
49807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49808 |
| Euler totient φ(n) | 49806 |
| Square | 2480737249 |
| Cube | 123558080160943 |
| Square root | 223.174819 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 4.9807 × |
49807 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seven |
| Binary (base 2) | 1100001010001111 |
| Octal (base 8) | 141217 |
| Hexadecimal (base 16) | C28F |
| Base 3 | 2112022201 |
| As time | 49807 seconds = 13 h 50 min 7 s |
Is 49807 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 | No (remainder 2) | 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 | 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 49807 a prime number?
Yes. 49807 is divisible only by 1 and itself.
What are the factors of 49807?
1, 49807.
What is 49807 in binary?
1100001010001111 (hexadecimal C28F, octal 141217).
What is the square root of 49807?
About 223.1748.
Is 49807 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49807?
49807 is the 5115th prime number.