The number 15424
15424 is a composite number with 14 divisors. Its prime factorisation is × 241. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15424: a Harshad number: divisible by its digit sum 16.
- 2
15424 is composite. Its prime factorisation is
- 3
The divisors add up to 30734; without 15424 itself that is 15310, so 15424 is deficient (15310 is less than 15424). Euler's totient φ(15424) = 7680 numbers up to 15424 share no factor with it.
- 4
The digits of 15424 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15424 = 2^{6} \times 241 \]15424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 30734 |
| Euler totient φ(n) | 7680 |
| Square | 237899776 |
| Cube | 3669366145024 |
| Square root | 124.193398 (= 8√241) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5424 × |
15424 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and twenty-four |
| Binary (base 2) | 11110001000000 |
| Octal (base 8) | 36100 |
| Hexadecimal (base 16) | 3C40 |
| Base 3 | 210011021 |
| As time | 15424 seconds = 4 h 17 min 4 s |
Is 15424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15424 ÷ 2 = 7712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15424 ÷ 4 = 3856) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (15424 ÷ 8 = 1928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15424 a prime number?
No. 15424 = × 241, so it is divisible by 2.
What are the factors of 15424?
1, 2, 4, 8, 16, 32, 64, 241, 482, 964, 1928, 3856, 7712, 15424.
What is 15424 in binary?
11110001000000 (hexadecimal 3C40, octal 36100).
What is the square root of 15424?
About 124.1934, exactly 8√241.
Is 15424 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 15424?
15424 is a Harshad number: divisible by its digit sum 16.