The number 35722
35722 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 337. Divisors (8): 1, 2, 53, 106, 337, 674, 17861, 35722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35722: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35722 is composite. Its prime factorisation is
- 3
The divisors add up to 54756; without 35722 itself that is 19034, so 35722 is deficient (19034 is less than 35722). Euler's totient φ(35722) = 17472 numbers up to 35722 share no factor with it.
- 4
The digits of 35722 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35722 = 2 \times 53 \times 337 \]
35722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54756 |
| Euler totient φ(n) | 17472 |
| Square | 1276061284 |
| Cube | 45583461187048 |
| Square root | 189.002645 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5722 × |
35722 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand seven hundred and twenty-two |
| Binary (base 2) | 1000101110001010 |
| Octal (base 8) | 105612 |
| Hexadecimal (base 16) | 8B8A |
| Base 3 | 1211000001 |
| As time | 35722 seconds = 9 h 55 min 22 s |
Is 35722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35722 ÷ 2 = 17861) | 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 2) | 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 1) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 35722 a prime number?
No. 35722 = 2 × 53 × 337, so it is divisible by 2.
What are the factors of 35722?
1, 2, 53, 106, 337, 674, 17861, 35722.
What is 35722 in binary?
1000101110001010 (hexadecimal 8B8A, octal 105612).
What is the square root of 35722?
About 189.0026.
Is 35722 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35722?
35722 is a happy number: repeatedly adding the squares of its digits reaches 1.