The number 10424
10424 is a composite number with 8 divisors. Its prime factorisation is × 1303. Divisors (8): 1, 2, 4, 8, 1303, 2606, 5212, 10424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10424 is composite. Its prime factorisation is
- 3
The divisors add up to 19560; without 10424 itself that is 9136, so 10424 is deficient (9136 is less than 10424). Euler's totient φ(10424) = 5208 numbers up to 10424 share no factor with it.
- 4
The digits of 10424 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10424 = 2^{3} \times 1303 \]10424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19560 |
| Euler totient φ(n) | 5208 |
| Square | 108659776 |
| Cube | 1132669505024 |
| Square root | 102.097992 (= 2√2606) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 1.0424 × |
10424 in other forms
| Form | Value |
|---|---|
| In words | ten thousand four hundred and twenty-four |
| Binary (base 2) | 10100010111000 |
| Octal (base 8) | 24270 |
| Hexadecimal (base 16) | 28B8 |
| Base 3 | 112022002 |
| As time | 10424 seconds = 2 h 53 min 44 s |
Is 10424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10424 ÷ 2 = 5212) | 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 | Yes (10424 ÷ 4 = 2606) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (10424 ÷ 8 = 1303) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10424 a prime number?
No. 10424 = × 1303, so it is divisible by 2.
What are the factors of 10424?
1, 2, 4, 8, 1303, 2606, 5212, 10424.
What is 10424 in binary?
10100010111000 (hexadecimal 28B8, octal 24270).
What is the square root of 10424?
About 102.0980, exactly 2√2606.
Is 10424 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 10424?
It is a composite number with 8 divisors.