The number 2142
2142 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 17. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119 … 2142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2142: a Harshad number: divisible by its digit sum 9.
- 2
2142 is composite. Its prime factorisation is
- 3
The divisors add up to 5616; without 2142 itself that is 3474, so 2142 is abundant (3474 is more than 2142). Euler's totient φ(2142) = 576 numbers up to 2142 share no factor with it.
- 4
The digits of 2142 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2142 = 2 \times 3^{2} \times 7 \times 17 \]2142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 5616 |
| Euler totient φ(n) | 576 |
| Square | 4588164 |
| Cube | 9827847288 |
| Square root | 46.281746 (= 3√238) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 2.142 × |
2142 in other forms
| Form | Value |
|---|---|
| In words | two thousand one hundred and forty-two |
| Roman numerals | MMCXLII |
| Binary (base 2) | 100001011110 |
| Octal (base 8) | 4136 |
| Hexadecimal (base 16) | 85E |
| Base 3 | 2221100 |
| As time | 2142 seconds = 35 min 42 s |
Is 2142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2142 ÷ 2 = 1071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2142 ÷ 3 = 714) | 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 (2142 ÷ 6 = 357) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2142 ÷ 7 = 306) | 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 (2142 ÷ 9 = 238) | 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 8) | 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 2142 a prime number?
No. 2142 = 2 × × 7 × 17, so it is divisible by 2.
What are the factors of 2142?
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142.
What is 2142 in binary?
100001011110 (hexadecimal 85E, octal 4136).
What is the square root of 2142?
About 46.2817, exactly 3√238.
What is 2142 in Roman numerals?
MMCXLII.
Is 2142 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2142?
2142 is a Harshad number: divisible by its digit sum 9.