The number 42102
42102 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2339. Divisors (12): 1, 2, 3, 6, 9, 18, 2339, 4678, 7017, 14034, 21051, 42102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42102: a Harshad number: divisible by its digit sum 9.
- 2
42102 is composite. Its prime factorisation is
- 3
The divisors add up to 91260; without 42102 itself that is 49158, so 42102 is abundant (49158 is more than 42102). Euler's totient φ(42102) = 14028 numbers up to 42102 share no factor with it.
- 4
The digits of 42102 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42102 = 2 \times 3^{2} \times 2339 \]42102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91260 |
| Euler totient φ(n) | 14028 |
| Square | 1772578404 |
| Cube | 74629095965208 |
| Square root | 205.187719 (= 3√4678) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2102 × |
42102 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and two |
| Binary (base 2) | 1010010001110110 |
| Octal (base 8) | 122166 |
| Hexadecimal (base 16) | A476 |
| Base 3 | 2010202100 |
| As time | 42102 seconds = 11 h 41 min 42 s |
Is 42102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42102 ÷ 2 = 21051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42102 ÷ 3 = 14034) | 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 (42102 ÷ 6 = 7017) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (42102 ÷ 9 = 4678) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42102 a prime number?
No. 42102 = 2 × × 2339, so it is divisible by 2.
What are the factors of 42102?
1, 2, 3, 6, 9, 18, 2339, 4678, 7017, 14034, 21051, 42102.
What is 42102 in binary?
1010010001110110 (hexadecimal A476, octal 122166).
What is the square root of 42102?
About 205.1877, exactly 3√4678.
Is 42102 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42102?
42102 is a Harshad number: divisible by its digit sum 9.