The number 24121
24121 is the 2686th prime number. Its only divisors are 1 and 24121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24121: the 2686th prime number.
- 2
24121 is prime, so its only factors are 1 and 24121. It is the 2686th prime; the next prime is 24133 and the one before is 24113.
- 3
The divisors add up to 24122; without 24121 itself that is 1, so 24121 is deficient (1 is less than 24121). Euler's totient φ(24121) = 24120 numbers up to 24121 share no factor with it.
- 4
The digits of 24121 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
24121 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24122 |
| Euler totient φ(n) | 24120 |
| Square | 581822641 |
| Cube | 14034143923561 |
| Square root | 155.309369 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4121 × |
24121 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and twenty-one |
| Binary (base 2) | 101111000111001 |
| Octal (base 8) | 57071 |
| Hexadecimal (base 16) | 5E39 |
| Base 3 | 1020002101 |
| As time | 24121 seconds = 6 h 42 min 1 s |
Is 24121 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 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 24121 a prime number?
Yes. 24121 is divisible only by 1 and itself.
What are the factors of 24121?
1, 24121.
What is 24121 in binary?
101111000111001 (hexadecimal 5E39, octal 57071).
What is the square root of 24121?
About 155.3094.
Is 24121 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24121?
24121 is the 2686th prime number.