The number 87142
87142 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 233. Divisors (16): 1, 2, 11, 17, 22, 34, 187, 233, 374, 466, 2563, 3961, 5126, 7922, 43571, 87142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87142: a Harshad number: divisible by its digit sum 22.
- 2
87142 is composite. Its prime factorisation is
- 3
The divisors add up to 151632; without 87142 itself that is 64490, so 87142 is deficient (64490 is less than 87142). Euler's totient φ(87142) = 37120 numbers up to 87142 share no factor with it.
- 4
The digits of 87142 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87142 = 2 \times 11 \times 17 \times 233 \]
87142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 151632 |
| Euler totient φ(n) | 37120 |
| Square | 7593728164 |
| Cube | 661732659667288 |
| Square root | 295.198238 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7142 × |
87142 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and forty-two |
| Binary (base 2) | 10101010001100110 |
| Octal (base 8) | 252146 |
| Hexadecimal (base 16) | 15466 |
| Base 3 | 11102112111 |
| As time | 87142 seconds = 24 h 12 min 22 s |
Is 87142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87142 ÷ 2 = 43571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 4) | 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 (87142 ÷ 11 = 7922) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87142 a prime number?
No. 87142 = 2 × 11 × 17 × 233, so it is divisible by 2.
What are the factors of 87142?
1, 2, 11, 17, 22, 34, 187, 233, 374, 466, 2563, 3961, 5126, 7922, 43571, 87142.
What is 87142 in binary?
10101010001100110 (hexadecimal 15466, octal 252146).
What is the square root of 87142?
About 295.1982.
Is 87142 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87142?
87142 is a Harshad number: divisible by its digit sum 22.