The number 24402
24402 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 83. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 49, 83, 98, 147, 166, 249, 294, 498 … 24402.
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How to work it out
- 1
24402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24402 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 24402 itself that is 33054, so 24402 is abundant (33054 is more than 24402). Euler's totient φ(24402) = 6888 numbers up to 24402 share no factor with it.
- 4
The digits of 24402 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24402 = 2 \times 3 \times 7^{2} \times 83 \]24402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 6888 |
| Square | 595457604 |
| Cube | 14530356452808 |
| Square root | 156.211395 (= 7√498) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4402 × |
24402 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and two |
| Binary (base 2) | 101111101010010 |
| Octal (base 8) | 57522 |
| Hexadecimal (base 16) | 5F52 |
| Base 3 | 1020110210 |
| As time | 24402 seconds = 6 h 46 min 42 s |
Is 24402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24402 ÷ 2 = 12201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24402 ÷ 3 = 8134) | 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 | Yes (24402 ÷ 6 = 4067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24402 ÷ 7 = 3486) | 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 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24402 a prime number?
No. 24402 = 2 × 3 × × 83, so it is divisible by 2.
What are the factors of 24402?
1, 2, 3, 6, 7, 14, 21, 42, 49, 83, 98, 147, 166, 249, 294, 498, 581, 1162, 1743, 3486, 4067, 8134, 12201, 24402.
What is 24402 in binary?
101111101010010 (hexadecimal 5F52, octal 57522).
What is the square root of 24402?
About 156.2114, exactly 7√498.
Is 24402 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24402?
It is a composite number with 24 divisors.