The number 35042
35042 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2503. Divisors (8): 1, 2, 7, 14, 2503, 5006, 17521, 35042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35042: a Harshad number: divisible by its digit sum 14.
- 2
35042 is composite. Its prime factorisation is
- 3
The divisors add up to 60096; without 35042 itself that is 25054, so 35042 is deficient (25054 is less than 35042). Euler's totient φ(35042) = 15012 numbers up to 35042 share no factor with it.
- 4
The digits of 35042 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35042 = 2 \times 7 \times 2503 \]
35042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 60096 |
| Euler totient φ(n) | 15012 |
| Square | 1227941764 |
| Cube | 43029535294088 |
| Square root | 187.195085 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.5042 × |
35042 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and forty-two |
| Binary (base 2) | 1000100011100010 |
| Octal (base 8) | 104342 |
| Hexadecimal (base 16) | 88E2 |
| Base 3 | 1210001212 |
| As time | 35042 seconds = 9 h 44 min 2 s |
Is 35042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35042 ÷ 2 = 17521) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35042 ÷ 7 = 5006) | 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 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35042 a prime number?
No. 35042 = 2 × 7 × 2503, so it is divisible by 2.
What are the factors of 35042?
1, 2, 7, 14, 2503, 5006, 17521, 35042.
What is 35042 in binary?
1000100011100010 (hexadecimal 88E2, octal 104342).
What is the square root of 35042?
About 187.1951.
Is 35042 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 35042?
35042 is a Harshad number: divisible by its digit sum 14.