The number 35938
35938 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 151. Divisors (16): 1, 2, 7, 14, 17, 34, 119, 151, 238, 302, 1057, 2114, 2567, 5134, 17969, 35938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35938: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35938 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 35938 itself that is 29726, so 35938 is deficient (29726 is less than 35938). Euler's totient φ(35938) = 14400 numbers up to 35938 share no factor with it.
- 4
The digits of 35938 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35938 = 2 \times 7 \times 17 \times 151 \]
35938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 14400 |
| Square | 1291539844 |
| Cube | 46415358913672 |
| Square root | 189.573205 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.5938 × |
35938 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and thirty-eight |
| Binary (base 2) | 1000110001100010 |
| Octal (base 8) | 106142 |
| Hexadecimal (base 16) | 8C62 |
| Base 3 | 1211022001 |
| As time | 35938 seconds = 9 h 58 min 58 s |
Is 35938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35938 ÷ 2 = 17969) | 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 | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35938 ÷ 7 = 5134) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35938 a prime number?
No. 35938 = 2 × 7 × 17 × 151, so it is divisible by 2.
What are the factors of 35938?
1, 2, 7, 14, 17, 34, 119, 151, 238, 302, 1057, 2114, 2567, 5134, 17969, 35938.
What is 35938 in binary?
1000110001100010 (hexadecimal 8C62, octal 106142).
What is the square root of 35938?
About 189.5732.
Is 35938 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 35938?
35938 is a happy number: repeatedly adding the squares of its digits reaches 1.