The number 65424
65424 is a composite number with 40 divisors. Its prime factorisation is × 3 × 29 × 47. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 58, 87, 94, 116 … 65424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 65424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
65424 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 65424 itself that is 113136, so 65424 is abundant (113136 is more than 65424). Euler's totient φ(65424) = 20608 numbers up to 65424 share no factor with it.
- 4
The digits of 65424 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65424 = 2^{4} \times 3 \times 29 \times 47 \]65424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 20608 |
| Square | 4280299776 |
| Cube | 280034332545024 |
| Square root | 255.781156 (= 4√4089) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.5424 × |
65424 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand four hundred and twenty-four |
| Binary (base 2) | 1111111110010000 |
| Octal (base 8) | 177620 |
| Hexadecimal (base 16) | FF90 |
| Base 3 | 10022202010 |
| As time | 65424 seconds = 18 h 10 min 24 s |
Is 65424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65424 ÷ 2 = 32712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65424 ÷ 3 = 21808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (65424 ÷ 4 = 16356) | 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 (65424 ÷ 6 = 10904) | 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 (65424 ÷ 8 = 8178) | 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 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 | Yes (65424 ÷ 12 = 5452) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65424 a prime number?
No. 65424 = × 3 × 29 × 47, so it is divisible by 2.
What are the factors of 65424?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 47, 48, 58, 87, 94, 116, 141, 174, 188, 232, 282, 348, 376, 464, 564, 696, 752, 1128, 1363, 1392, 2256, 2726, 4089, 5452, 8178, 10904, 16356, 21808, 32712, 65424.
What is 65424 in binary?
1111111110010000 (hexadecimal FF90, octal 177620).
What is the square root of 65424?
About 255.7812, exactly 4√4089.
Is 65424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 65424?
65424 is a happy number: repeatedly adding the squares of its digits reaches 1.