The number 24071
24071 is the 2677th prime number. Its only divisors are 1 and 24071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24071: the 2677th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24071 is prime, so its only factors are 1 and 24071. It is the 2677th prime; the next prime is 24077 and the one before is 24061.
- 3
The divisors add up to 24072; without 24071 itself that is 1, so 24071 is deficient (1 is less than 24071). Euler's totient φ(24071) = 24070 numbers up to 24071 share no factor with it.
- 4
The digits of 24071 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
24071 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24072 |
| Euler totient φ(n) | 24070 |
| Square | 579413041 |
| Cube | 13947051309911 |
| Square root | 155.148316 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4071 × |
24071 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and seventy-one |
| Binary (base 2) | 101111000000111 |
| Octal (base 8) | 57007 |
| Hexadecimal (base 16) | 5E07 |
| Base 3 | 1020000112 |
| As time | 24071 seconds = 6 h 41 min 11 s |
Is 24071 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 24071 a prime number?
Yes. 24071 is divisible only by 1 and itself.
What are the factors of 24071?
1, 24071.
What is 24071 in binary?
101111000000111 (hexadecimal 5E07, octal 57007).
What is the square root of 24071?
About 155.1483.
Is 24071 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 24071?
24071 is the 2677th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.