The number 35024
35024 is a composite number with 20 divisors. Its prime factorisation is × 11 × 199. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 199, 398, 796, 1592, 2189, 3184 … 35024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35024 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 35024 itself that is 39376, so 35024 is abundant (39376 is more than 35024). Euler's totient φ(35024) = 15840 numbers up to 35024 share no factor with it.
- 4
The digits of 35024 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35024 = 2^{4} \times 11 \times 199 \]35024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 15840 |
| Square | 1226680576 |
| Cube | 42963260493824 |
| Square root | 187.147001 (= 4√2189) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.5024 × |
35024 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty-four |
| Binary (base 2) | 1000100011010000 |
| Octal (base 8) | 104320 |
| Hexadecimal (base 16) | 88D0 |
| Base 3 | 1210001012 |
| As time | 35024 seconds = 9 h 43 min 44 s |
Is 35024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35024 ÷ 2 = 17512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35024 ÷ 4 = 8756) | 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 2) | 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 (35024 ÷ 8 = 4378) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (35024 ÷ 11 = 3184) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35024 a prime number?
No. 35024 = × 11 × 199, so it is divisible by 2.
What are the factors of 35024?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 199, 398, 796, 1592, 2189, 3184, 4378, 8756, 17512, 35024.
What is 35024 in binary?
1000100011010000 (hexadecimal 88D0, octal 104320).
What is the square root of 35024?
About 187.1470, exactly 4√2189.
Is 35024 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 35024?
It is a composite number with 20 divisors.