The number 71424
71424 is a composite number with 54 divisors. Its prime factorisation is × × 31. Divisors (54): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62 … 71424.
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How to work it out
- 1
What is special about 71424: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
71424 is composite. Its prime factorisation is
- 3
The divisors add up to 212576; without 71424 itself that is 141152, so 71424 is abundant (141152 is more than 71424). Euler's totient φ(71424) = 23040 numbers up to 71424 share no factor with it.
- 4
The digits of 71424 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71424 = 2^{8} \times 3^{2} \times 31 \]71424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 212576 |
| Euler totient φ(n) | 23040 |
| Square | 5101387776 |
| Cube | 364361520513024 |
| Square root | 267.252689 (= 48√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1424 × |
71424 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and twenty-four |
| Binary (base 2) | 10001011100000000 |
| Octal (base 8) | 213400 |
| Hexadecimal (base 16) | 11700 |
| Base 3 | 10121222100 |
| As time | 71424 seconds = 19 h 50 min 24 s |
Is 71424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71424 ÷ 2 = 35712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71424 ÷ 3 = 23808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71424 ÷ 4 = 17856) | 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 | Yes (71424 ÷ 6 = 11904) | 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 (71424 ÷ 8 = 8928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71424 ÷ 9 = 7936) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71424 ÷ 12 = 5952) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71424 a prime number?
No. 71424 = × × 31, so it is divisible by 2.
What are the factors of 71424?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 64, 72, 93, 96, 124, 128, 144, 186, 192, 248, 256, 279, 288, 372, 384, 496, 558, 576, 744, 768, 992, 1116, 1152, 1488, 1984, 2232, 2304, 2976, 3968, 4464, 5952, 7936, 8928, 11904, 17856, 23808, 35712, 71424.
What is 71424 in binary?
10001011100000000 (hexadecimal 11700, octal 213400).
What is the square root of 71424?
About 267.2527, exactly 48√31.
Is 71424 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71424?
71424 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.