The number 49121
49121 is a twin prime (49121 and 49123 are both prime) and the 5049th prime number. Its only divisors are 1 and 49121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49121: a twin prime (49121 and 49123 are both prime); the 5049th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49121 is prime, so its only factors are 1 and 49121. It is the 5049th prime; the next prime is 49123 and the one before is 49117.
- 3
The divisors add up to 49122; without 49121 itself that is 1, so 49121 is deficient (1 is less than 49121). Euler's totient φ(49121) = 49120 numbers up to 49121 share no factor with it.
- 4
The digits of 49121 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
49121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49122 |
| Euler totient φ(n) | 49120 |
| Square | 2412872641 |
| Cube | 118522716998561 |
| Square root | 221.632579 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.9121 × |
49121 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and twenty-one |
| Binary (base 2) | 1011111111100001 |
| Octal (base 8) | 137741 |
| Hexadecimal (base 16) | BFE1 |
| Base 3 | 2111101022 |
| As time | 49121 seconds = 13 h 38 min 41 s |
Is 49121 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 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 49121 a prime number?
Yes. 49121 is divisible only by 1 and itself.
What are the factors of 49121?
1, 49121.
What is 49121 in binary?
1011111111100001 (hexadecimal BFE1, octal 137741).
What is the square root of 49121?
About 221.6326.
Is 49121 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 49121?
49121 is a twin prime (49121 and 49123 are both prime); the 5049th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.