The number 87742
87742 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 2309. Divisors (8): 1, 2, 19, 38, 2309, 4618, 43871, 87742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87742 is composite. Its prime factorisation is
- 3
The divisors add up to 138600; without 87742 itself that is 50858, so 87742 is deficient (50858 is less than 87742). Euler's totient φ(87742) = 41544 numbers up to 87742 share no factor with it.
- 4
The digits of 87742 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87742 = 2 \times 19 \times 2309 \]
87742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 138600 |
| Euler totient φ(n) | 41544 |
| Square | 7698658564 |
| Cube | 675495699722488 |
| Square root | 296.212761 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7742 × |
87742 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and forty-two |
| Binary (base 2) | 10101011010111110 |
| Octal (base 8) | 253276 |
| Hexadecimal (base 16) | 156BE |
| Base 3 | 11110100201 |
| As time | 87742 seconds = 24 h 22 min 22 s |
Is 87742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87742 ÷ 2 = 43871) | 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 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 | No (remainder 1) | 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 6) | 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 87742 a prime number?
No. 87742 = 2 × 19 × 2309, so it is divisible by 2.
What are the factors of 87742?
1, 2, 19, 38, 2309, 4618, 43871, 87742.
What is 87742 in binary?
10101011010111110 (hexadecimal 156BE, octal 253276).
What is the square root of 87742?
About 296.2128.
Is 87742 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87742?
It is a composite number with 8 divisors.