The number 35740
35740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1787. Divisors (12): 1, 2, 4, 5, 10, 20, 1787, 3574, 7148, 8935, 17870, 35740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35740 is composite. Its prime factorisation is
- 3
The divisors add up to 75096; without 35740 itself that is 39356, so 35740 is abundant (39356 is more than 35740). Euler's totient φ(35740) = 14288 numbers up to 35740 share no factor with it.
- 4
The digits of 35740 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35740 = 2^{2} \times 5 \times 1787 \]35740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75096 |
| Euler totient φ(n) | 14288 |
| Square | 1277347600 |
| Cube | 45652403224000 |
| Square root | 189.050258 (= 2√8935) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.574 × |
35740 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and forty |
| Binary (base 2) | 1000101110011100 |
| Octal (base 8) | 105634 |
| Hexadecimal (base 16) | 8B9C |
| Base 3 | 1211000201 |
| As time | 35740 seconds = 9 h 55 min 40 s |
Is 35740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35740 ÷ 2 = 17870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35740 ÷ 4 = 8935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35740 ÷ 5 = 7148) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35740 ÷ 10 = 3574) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35740 a prime number?
No. 35740 = × 5 × 1787, so it is divisible by 2.
What are the factors of 35740?
1, 2, 4, 5, 10, 20, 1787, 3574, 7148, 8935, 17870, 35740.
What is 35740 in binary?
1000101110011100 (hexadecimal 8B9C, octal 105634).
What is the square root of 35740?
About 189.0503, exactly 2√8935.
Is 35740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35740?
It is a composite number with 12 divisors.