The number 35542
35542 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1367. Divisors (8): 1, 2, 13, 26, 1367, 2734, 17771, 35542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35542 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 35542 itself that is 21914, so 35542 is deficient (21914 is less than 35542). Euler's totient φ(35542) = 16392 numbers up to 35542 share no factor with it.
- 4
The digits of 35542 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35542 = 2 \times 13 \times 1367 \]
35542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 16392 |
| Square | 1263233764 |
| Cube | 44897854440088 |
| Square root | 188.525860 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.5542 × |
35542 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand five hundred and forty-two |
| Binary (base 2) | 1000101011010110 |
| Octal (base 8) | 105326 |
| Hexadecimal (base 16) | 8AD6 |
| Base 3 | 1210202101 |
| As time | 35542 seconds = 9 h 52 min 22 s |
Is 35542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35542 ÷ 2 = 17771) | 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 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 6) | 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 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 35542 a prime number?
No. 35542 = 2 × 13 × 1367, so it is divisible by 2.
What are the factors of 35542?
1, 2, 13, 26, 1367, 2734, 17771, 35542.
What is 35542 in binary?
1000101011010110 (hexadecimal 8AD6, octal 105326).
What is the square root of 35542?
About 188.5259.
Is 35542 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35542?
35542 is a happy number: repeatedly adding the squares of its digits reaches 1.