The number 87942
87942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 14657. Divisors (8): 1, 2, 3, 6, 14657, 29314, 43971, 87942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87942 is composite. Its prime factorisation is
- 3
The divisors add up to 175896; without 87942 itself that is 87954, so 87942 is abundant (87954 is more than 87942). Euler's totient φ(87942) = 29312 numbers up to 87942 share no factor with it.
- 4
The digits of 87942 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87942 = 2 \times 3 \times 14657 \]
87942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 175896 |
| Euler totient φ(n) | 29312 |
| Square | 7733795364 |
| Cube | 680125431900888 |
| Square root | 296.550164 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7942 × |
87942 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and forty-two |
| Binary (base 2) | 10101011110000110 |
| Octal (base 8) | 253606 |
| Hexadecimal (base 16) | 15786 |
| Base 3 | 11110122010 |
| As time | 87942 seconds = 24 h 25 min 42 s |
Is 87942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87942 ÷ 2 = 43971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87942 ÷ 3 = 29314) | 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 (87942 ÷ 6 = 14657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 87942 a prime number?
No. 87942 = 2 × 3 × 14657, so it is divisible by 2.
What are the factors of 87942?
1, 2, 3, 6, 14657, 29314, 43971, 87942.
What is 87942 in binary?
10101011110000110 (hexadecimal 15786, octal 253606).
What is the square root of 87942?
About 296.5502.
Is 87942 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87942?
It is a composite number with 8 divisors.