The number 87426
87426 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1619. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1619, 3238, 4857, 9714, 14571, 29142, 43713, 87426.
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How to work it out
- 1
What is special about 87426: a Harshad number: divisible by its digit sum 27.
- 2
87426 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 87426 itself that is 106974, so 87426 is abundant (106974 is more than 87426). Euler's totient φ(87426) = 29124 numbers up to 87426 share no factor with it.
- 4
The digits of 87426 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
\[ 87426 = 2 \times 3^{3} \times 1619 \]87426 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 29124 |
| Square | 7643305476 |
| Cube | 668223624544776 |
| Square root | 295.678880 (= 3√9714) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7426 × |
87426 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and twenty-six |
| Binary (base 2) | 10101010110000010 |
| Octal (base 8) | 252602 |
| Hexadecimal (base 16) | 15582 |
| Base 3 | 11102221000 |
| As time | 87426 seconds = 24 h 17 min 6 s |
Is 87426 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87426 ÷ 2 = 43713) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87426 ÷ 3 = 29142) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87426 ÷ 6 = 14571) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87426 ÷ 9 = 9714) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 87426 a prime number?
No. 87426 = 2 × × 1619, so it is divisible by 2.
What are the factors of 87426?
1, 2, 3, 6, 9, 18, 27, 54, 1619, 3238, 4857, 9714, 14571, 29142, 43713, 87426.
What is 87426 in binary?
10101010110000010 (hexadecimal 15582, octal 252602).
What is the square root of 87426?
About 295.6789, exactly 3√9714.
Is 87426 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87426?
87426 is a Harshad number: divisible by its digit sum 27.