The number 24002
24002 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1091. Divisors (8): 1, 2, 11, 22, 1091, 2182, 12001, 24002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24002 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 24002 itself that is 15310, so 24002 is deficient (15310 is less than 24002). Euler's totient φ(24002) = 10900 numbers up to 24002 share no factor with it.
- 4
The digits of 24002 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24002 = 2 \times 11 \times 1091 \]
24002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39312 |
| Euler totient φ(n) | 10900 |
| Square | 576096004 |
| Cube | 13827456288008 |
| Square root | 154.925789 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.4002 × |
24002 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and two |
| Binary (base 2) | 101110111000010 |
| Octal (base 8) | 56702 |
| Hexadecimal (base 16) | 5DC2 |
| Base 3 | 1012220222 |
| As time | 24002 seconds = 6 h 40 min 2 s |
Is 24002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24002 ÷ 2 = 12001) | 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 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24002 ÷ 11 = 2182) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24002 a prime number?
No. 24002 = 2 × 11 × 1091, so it is divisible by 2.
What are the factors of 24002?
1, 2, 11, 22, 1091, 2182, 12001, 24002.
What is 24002 in binary?
101110111000010 (hexadecimal 5DC2, octal 56702).
What is the square root of 24002?
About 154.9258.
Is 24002 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 24002?
It is a composite number with 8 divisors.