The number 87462
87462 is a composite number with 24 divisors. Its prime factorisation is 2 × × 43 × 113. Divisors (24): 1, 2, 3, 6, 9, 18, 43, 86, 113, 129, 226, 258, 339, 387, 678, 774 … 87462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87462 is composite. Its prime factorisation is
- 3
The divisors add up to 195624; without 87462 itself that is 108162, so 87462 is abundant (108162 is more than 87462). Euler's totient φ(87462) = 28224 numbers up to 87462 share no factor with it.
- 4
The digits of 87462 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87462 = 2 \times 3^{2} \times 43 \times 113 \]87462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 195624 |
| Euler totient φ(n) | 28224 |
| Square | 7649601444 |
| Cube | 669049441495128 |
| Square root | 295.739750 (= 3√9718) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7462 × |
87462 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and sixty-two |
| Binary (base 2) | 10101010110100110 |
| Octal (base 8) | 252646 |
| Hexadecimal (base 16) | 155A6 |
| Base 3 | 11102222100 |
| As time | 87462 seconds = 24 h 17 min 42 s |
Is 87462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87462 ÷ 2 = 43731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87462 ÷ 3 = 29154) | 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 (87462 ÷ 6 = 14577) | 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 | Yes (87462 ÷ 9 = 9718) | 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 87462 a prime number?
No. 87462 = 2 × × 43 × 113, so it is divisible by 2.
What are the factors of 87462?
1, 2, 3, 6, 9, 18, 43, 86, 113, 129, 226, 258, 339, 387, 678, 774, 1017, 2034, 4859, 9718, 14577, 29154, 43731, 87462.
What is 87462 in binary?
10101010110100110 (hexadecimal 155A6, octal 252646).
What is the square root of 87462?
About 295.7398, exactly 3√9718.
Is 87462 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87462?
It is a composite number with 24 divisors.