The number 24087
24087 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 37. Divisors (16): 1, 3, 7, 21, 31, 37, 93, 111, 217, 259, 651, 777, 1147, 3441, 8029, 24087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24087: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
24087 is composite. Its prime factorisation is
- 3
The divisors add up to 38912; without 24087 itself that is 14825, so 24087 is deficient (14825 is less than 24087). Euler's totient φ(24087) = 12960 numbers up to 24087 share no factor with it.
- 4
The digits of 24087 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24087 = 3 \times 7 \times 31 \times 37 \]
24087 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38912 |
| Euler totient φ(n) | 12960 |
| Square | 580183569 |
| Cube | 13974881626503 |
| Square root | 155.199871 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4087 × |
24087 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and eighty-seven |
| Binary (base 2) | 101111000010111 |
| Octal (base 8) | 57027 |
| Hexadecimal (base 16) | 5E17 |
| Base 3 | 1020001010 |
| As time | 24087 seconds = 6 h 41 min 27 s |
Is 24087 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 | Yes (24087 ÷ 3 = 8029) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24087 ÷ 7 = 3441) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24087 a prime number?
No. 24087 = 3 × 7 × 31 × 37, so it is divisible by 3.
What are the factors of 24087?
1, 3, 7, 21, 31, 37, 93, 111, 217, 259, 651, 777, 1147, 3441, 8029, 24087.
What is 24087 in binary?
101111000010111 (hexadecimal 5E17, octal 57027).
What is the square root of 24087?
About 155.1999.
Is 24087 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24087?
24087 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.