The number 35741
35741 is a composite number with 4 divisors. Its prime factorisation is 103 × 347. Divisors (4): 1, 103, 347, 35741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 347, the product of two primes.
- 2
35741 is composite. Its prime factorisation is
- 3
The divisors add up to 36192; without 35741 itself that is 451, so 35741 is deficient (451 is less than 35741). Euler's totient φ(35741) = 35292 numbers up to 35741 share no factor with it.
- 4
The digits of 35741 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35741 = 103 \times 347 \]
35741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36192 |
| Euler totient φ(n) | 35292 |
| Square | 1277419081 |
| Cube | 45656235374021 |
| Square root | 189.052903 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.5741 × |
35741 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and forty-one |
| Binary (base 2) | 1000101110011101 |
| Octal (base 8) | 105635 |
| Hexadecimal (base 16) | 8B9D |
| Base 3 | 1211000202 |
| As time | 35741 seconds = 9 h 55 min 41 s |
Is 35741 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35741 a prime number?
No. 35741 = 103 × 347, so it is divisible by 103.
What are the factors of 35741?
1, 103, 347, 35741.
What is 35741 in binary?
1000101110011101 (hexadecimal 8B9D, octal 105635).
What is the square root of 35741?
About 189.0529.
Is 35741 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 35741?
35741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 103 × 347, the product of two primes.