The number 24137
24137 is the 2688th prime number. Its only divisors are 1 and 24137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24137: the 2688th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24137 is prime, so its only factors are 1 and 24137. It is the 2688th prime; the next prime is 24151 and the one before is 24133.
- 3
The divisors add up to 24138; without 24137 itself that is 1, so 24137 is deficient (1 is less than 24137). Euler's totient φ(24137) = 24136 numbers up to 24137 share no factor with it.
- 4
The digits of 24137 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 95 steps to reach 1.
24137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24138 |
| Euler totient φ(n) | 24136 |
| Square | 582594769 |
| Cube | 14062089939353 |
| Square root | 155.360870 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4137 × |
24137 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and thirty-seven |
| Binary (base 2) | 101111001001001 |
| Octal (base 8) | 57111 |
| Hexadecimal (base 16) | 5E49 |
| Base 3 | 1020002222 |
| As time | 24137 seconds = 6 h 42 min 17 s |
Is 24137 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 2) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 24137 a prime number?
Yes. 24137 is divisible only by 1 and itself.
What are the factors of 24137?
1, 24137.
What is 24137 in binary?
101111001001001 (hexadecimal 5E49, octal 57111).
What is the square root of 24137?
About 155.3609.
Is 24137 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 24137?
24137 is the 2688th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.