The number 48121
48121 is a twin prime (48119 and 48121 are both prime) and the 4956th prime number. Its only divisors are 1 and 48121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48121: a twin prime (48119 and 48121 are both prime); the 4956th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48121 is prime, so its only factors are 1 and 48121. It is the 4956th prime; the next prime is 48131 and the one before is 48119.
- 3
The divisors add up to 48122; without 48121 itself that is 1, so 48121 is deficient (1 is less than 48121). Euler's totient φ(48121) = 48120 numbers up to 48121 share no factor with it.
- 4
The digits of 48121 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
48121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48122 |
| Euler totient φ(n) | 48120 |
| Square | 2315630641 |
| Cube | 111430462075561 |
| Square root | 219.364993 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8121 × |
48121 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and twenty-one |
| Binary (base 2) | 1011101111111001 |
| Octal (base 8) | 135771 |
| Hexadecimal (base 16) | BBF9 |
| Base 3 | 2110000021 |
| As time | 48121 seconds = 13 h 22 min 1 s |
Is 48121 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48121 a prime number?
Yes. 48121 is divisible only by 1 and itself.
What are the factors of 48121?
1, 48121.
What is 48121 in binary?
1011101111111001 (hexadecimal BBF9, octal 135771).
What is the square root of 48121?
About 219.3650.
Is 48121 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48121?
48121 is a twin prime (48119 and 48121 are both prime); the 4956th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.