The number 51424
51424 is a composite number with 12 divisors. Its prime factorisation is × 1607. Divisors (12): 1, 2, 4, 8, 16, 32, 1607, 3214, 6428, 12856, 25712, 51424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51424: a Harshad number: divisible by its digit sum 16.
- 2
51424 is composite. Its prime factorisation is
- 3
The divisors add up to 101304; without 51424 itself that is 49880, so 51424 is deficient (49880 is less than 51424). Euler's totient φ(51424) = 25696 numbers up to 51424 share no factor with it.
- 4
The digits of 51424 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51424 = 2^{5} \times 1607 \]51424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 101304 |
| Euler totient φ(n) | 25696 |
| Square | 2644427776 |
| Cube | 135987053953024 |
| Square root | 226.768605 (= 4√3214) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1424 × |
51424 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand four hundred and twenty-four |
| Binary (base 2) | 1100100011100000 |
| Octal (base 8) | 144340 |
| Hexadecimal (base 16) | C8E0 |
| Base 3 | 2121112121 |
| As time | 51424 seconds = 14 h 17 min 4 s |
Is 51424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51424 ÷ 2 = 25712) | 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 (51424 ÷ 4 = 12856) | 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 2) | 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 (51424 ÷ 8 = 6428) | 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 10) | 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 51424 a prime number?
No. 51424 = × 1607, so it is divisible by 2.
What are the factors of 51424?
1, 2, 4, 8, 16, 32, 1607, 3214, 6428, 12856, 25712, 51424.
What is 51424 in binary?
1100100011100000 (hexadecimal C8E0, octal 144340).
What is the square root of 51424?
About 226.7686, exactly 4√3214.
Is 51424 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 51424?
51424 is a Harshad number: divisible by its digit sum 16.