The number 35264
35264 is a composite number with 28 divisors. Its prime factorisation is × 19 × 29. Divisors (28): 1, 2, 4, 8, 16, 19, 29, 32, 38, 58, 64, 76, 116, 152, 232, 304 … 35264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35264 is composite. Its prime factorisation is
- 3
The divisors add up to 76200; without 35264 itself that is 40936, so 35264 is abundant (40936 is more than 35264). Euler's totient φ(35264) = 16128 numbers up to 35264 share no factor with it.
- 4
The digits of 35264 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35264 = 2^{6} \times 19 \times 29 \]35264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 76200 |
| Euler totient φ(n) | 16128 |
| Square | 1243549696 |
| Cube | 43852536479744 |
| Square root | 187.787114 (= 8√551) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5264 × |
35264 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand two hundred and sixty-four |
| Binary (base 2) | 1000100111000000 |
| Octal (base 8) | 104700 |
| Hexadecimal (base 16) | 89C0 |
| Base 3 | 1210101002 |
| As time | 35264 seconds = 9 h 47 min 44 s |
Is 35264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35264 ÷ 2 = 17632) | 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 (35264 ÷ 4 = 8816) | 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 5) | 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 (35264 ÷ 8 = 4408) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 35264 a prime number?
No. 35264 = × 19 × 29, so it is divisible by 2.
What are the factors of 35264?
1, 2, 4, 8, 16, 19, 29, 32, 38, 58, 64, 76, 116, 152, 232, 304, 464, 551, 608, 928, 1102, 1216, 1856, 2204, 4408, 8816, 17632, 35264.
What is 35264 in binary?
1000100111000000 (hexadecimal 89C0, octal 104700).
What is the square root of 35264?
About 187.7871, exactly 8√551.
Is 35264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35264?
It is a composite number with 28 divisors.