The number 35424
35424 is a composite number with 48 divisors. Its prime factorisation is × × 41. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 41, 48 … 35424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35424: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
35424 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 35424 itself that is 70416, so 35424 is abundant (70416 is more than 35424). Euler's totient φ(35424) = 11520 numbers up to 35424 share no factor with it.
- 4
The digits of 35424 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35424 = 2^{5} \times 3^{3} \times 41 \]35424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 11520 |
| Square | 1254859776 |
| Cube | 44452152705024 |
| Square root | 188.212646 (= 12√246) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5424 × |
35424 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and twenty-four |
| Binary (base 2) | 1000101001100000 |
| Octal (base 8) | 105140 |
| Hexadecimal (base 16) | 8A60 |
| Base 3 | 1210121000 |
| As time | 35424 seconds = 9 h 50 min 24 s |
Is 35424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35424 ÷ 2 = 17712) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35424 ÷ 3 = 11808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35424 ÷ 4 = 8856) | 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 (35424 ÷ 6 = 5904) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (35424 ÷ 8 = 4428) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35424 ÷ 9 = 3936) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35424 ÷ 12 = 2952) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35424 a prime number?
No. 35424 = × × 41, so it is divisible by 2.
What are the factors of 35424?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 41, 48, 54, 72, 82, 96, 108, 123, 144, 164, 216, 246, 288, 328, 369, 432, 492, 656, 738, 864, 984, 1107, 1312, 1476, 1968, 2214, 2952, 3936, 4428, 5904, 8856, 11808, 17712, 35424.
What is 35424 in binary?
1000101001100000 (hexadecimal 8A60, octal 105140).
What is the square root of 35424?
About 188.2126, exactly 12√246.
Is 35424 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35424?
35424 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.