The number 49139
49139 is the 5051st prime number. Its only divisors are 1 and 49139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49139: the 5051st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49139 is prime, so its only factors are 1 and 49139. It is the 5051st prime; the next prime is 49157 and the one before is 49123.
- 3
The divisors add up to 49140; without 49139 itself that is 1, so 49139 is deficient (1 is less than 49139). Euler's totient φ(49139) = 49138 numbers up to 49139 share no factor with it.
- 4
The digits of 49139 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
49139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 49138 |
| Square | 2414641321 |
| Cube | 118653059872619 |
| Square root | 221.673183 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 171 |
| Scientific notation | 4.9139 × |
49139 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and thirty-nine |
| Binary (base 2) | 1011111111110011 |
| Octal (base 8) | 137763 |
| Hexadecimal (base 16) | BFF3 |
| Base 3 | 2111101222 |
| As time | 49139 seconds = 13 h 38 min 59 s |
Is 49139 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49139 a prime number?
Yes. 49139 is divisible only by 1 and itself.
What are the factors of 49139?
1, 49139.
What is 49139 in binary?
1011111111110011 (hexadecimal BFF3, octal 137763).
What is the square root of 49139?
About 221.6732.
Is 49139 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 49139?
49139 is the 5051st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.