The number 35738
35738 is a composite number with 8 divisors. Its prime factorisation is 2 × 107 × 167. Divisors (8): 1, 2, 107, 167, 214, 334, 17869, 35738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35738 is composite. Its prime factorisation is
- 3
The divisors add up to 54432; without 35738 itself that is 18694, so 35738 is deficient (18694 is less than 35738). Euler's totient φ(35738) = 17596 numbers up to 35738 share no factor with it.
- 4
The digits of 35738 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35738 = 2 \times 107 \times 167 \]
35738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54432 |
| Euler totient φ(n) | 17596 |
| Square | 1277204644 |
| Cube | 45644739567272 |
| Square root | 189.044968 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.5738 × |
35738 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and thirty-eight |
| Binary (base 2) | 1000101110011010 |
| Octal (base 8) | 105632 |
| Hexadecimal (base 16) | 8B9A |
| Base 3 | 1211000122 |
| As time | 35738 seconds = 9 h 55 min 38 s |
Is 35738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35738 ÷ 2 = 17869) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35738 a prime number?
No. 35738 = 2 × 107 × 167, so it is divisible by 2.
What are the factors of 35738?
1, 2, 107, 167, 214, 334, 17869, 35738.
What is 35738 in binary?
1000101110011010 (hexadecimal 8B9A, octal 105632).
What is the square root of 35738?
About 189.0450.
Is 35738 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 35738?
It is a composite number with 8 divisors.