The number 20142
20142 is a composite number with 16 divisors. Its prime factorisation is 2 × × 373. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1119, 2238, 3357, 6714, 10071, 20142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20142: a Harshad number: divisible by its digit sum 9.
- 2
20142 is composite. Its prime factorisation is
- 3
The divisors add up to 44880; without 20142 itself that is 24738, so 20142 is abundant (24738 is more than 20142). Euler's totient φ(20142) = 6696 numbers up to 20142 share no factor with it.
- 4
The digits of 20142 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20142 = 2 \times 3^{3} \times 373 \]20142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44880 |
| Euler totient φ(n) | 6696 |
| Square | 405700164 |
| Cube | 8171612703288 |
| Square root | 141.922514 (= 3√2238) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0142 × |
20142 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and forty-two |
| Binary (base 2) | 100111010101110 |
| Octal (base 8) | 47256 |
| Hexadecimal (base 16) | 4EAE |
| Base 3 | 1000122000 |
| As time | 20142 seconds = 5 h 35 min 42 s |
Is 20142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20142 ÷ 2 = 10071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20142 ÷ 3 = 6714) | 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 (20142 ÷ 6 = 3357) | 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 | Yes (20142 ÷ 9 = 2238) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20142 a prime number?
No. 20142 = 2 × × 373, so it is divisible by 2.
What are the factors of 20142?
1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1119, 2238, 3357, 6714, 10071, 20142.
What is 20142 in binary?
100111010101110 (hexadecimal 4EAE, octal 47256).
What is the square root of 20142?
About 141.9225, exactly 3√2238.
Is 20142 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20142?
20142 is a Harshad number: divisible by its digit sum 9.