The number 87430
87430 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1249. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1249, 2498, 6245, 8743, 12490, 17486, 43715, 87430.
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How to work it out
- 1
87430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87430 is composite. Its prime factorisation is
- 3
The divisors add up to 180000; without 87430 itself that is 92570, so 87430 is abundant (92570 is more than 87430). Euler's totient φ(87430) = 29952 numbers up to 87430 share no factor with it.
- 4
The digits of 87430 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87430 = 2 \times 5 \times 7 \times 1249 \]
87430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 180000 |
| Euler totient φ(n) | 29952 |
| Square | 7644004900 |
| Cube | 668315348407000 |
| Square root | 295.685644 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.743 × |
87430 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and thirty |
| Binary (base 2) | 10101010110000110 |
| Octal (base 8) | 252606 |
| Hexadecimal (base 16) | 15586 |
| Base 3 | 11102221011 |
| As time | 87430 seconds = 24 h 17 min 10 s |
Is 87430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87430 ÷ 2 = 43715) | 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 | Yes (87430 ÷ 5 = 17486) | 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 | Yes (87430 ÷ 7 = 12490) | 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 | Yes (87430 ÷ 10 = 8743) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 87430 a prime number?
No. 87430 = 2 × 5 × 7 × 1249, so it is divisible by 2.
What are the factors of 87430?
1, 2, 5, 7, 10, 14, 35, 70, 1249, 2498, 6245, 8743, 12490, 17486, 43715, 87430.
What is 87430 in binary?
10101010110000110 (hexadecimal 15586, octal 252606).
What is the square root of 87430?
About 295.6856.
Is 87430 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87430?
It is a composite number with 16 divisors.