The number 35442
35442 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 179. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 179, 198, 358, 537, 1074 … 35442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
35442 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 35442 itself that is 48798, so 35442 is abundant (48798 is more than 35442). Euler's totient φ(35442) = 10680 numbers up to 35442 share no factor with it.
- 4
The digits of 35442 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35442 = 2 \times 3^{2} \times 11 \times 179 \]35442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 10680 |
| Square | 1256135364 |
| Cube | 44519949570888 |
| Square root | 188.260458 (= 3√3938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.5442 × |
35442 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand four hundred and forty-two |
| Binary (base 2) | 1000101001110010 |
| Octal (base 8) | 105162 |
| Hexadecimal (base 16) | 8A72 |
| Base 3 | 1210121200 |
| As time | 35442 seconds = 9 h 50 min 42 s |
Is 35442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35442 ÷ 2 = 17721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35442 ÷ 3 = 11814) | 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 | Yes (35442 ÷ 6 = 5907) | 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 | Yes (35442 ÷ 9 = 3938) | 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 | Yes (35442 ÷ 11 = 3222) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35442 a prime number?
No. 35442 = 2 × × 11 × 179, so it is divisible by 2.
What are the factors of 35442?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 179, 198, 358, 537, 1074, 1611, 1969, 3222, 3938, 5907, 11814, 17721, 35442.
What is 35442 in binary?
1000101001110010 (hexadecimal 8A72, octal 105162).
What is the square root of 35442?
About 188.2605, exactly 3√3938.
Is 35442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35442?
35442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.