The number 87642
87642 is a composite number with 20 divisors. Its prime factorisation is 2 × × 541. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 541, 1082, 1623, 3246, 4869, 9738 … 87642.
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How to work it out
- 1
What is special about 87642: a Harshad number: divisible by its digit sum 27.
- 2
87642 is composite. Its prime factorisation is
- 3
The divisors add up to 196746; without 87642 itself that is 109104, so 87642 is abundant (109104 is more than 87642). Euler's totient φ(87642) = 29160 numbers up to 87642 share no factor with it.
- 4
The digits of 87642 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87642 = 2 \times 3^{4} \times 541 \]87642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 196746 |
| Euler totient φ(n) | 29160 |
| Square | 7681120164 |
| Cube | 673188733413288 |
| Square root | 296.043916 (= 9√1082) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7642 × |
87642 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and forty-two |
| Binary (base 2) | 10101011001011010 |
| Octal (base 8) | 253132 |
| Hexadecimal (base 16) | 1565A |
| Base 3 | 11110020000 |
| As time | 87642 seconds = 24 h 20 min 42 s |
Is 87642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87642 ÷ 2 = 43821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87642 ÷ 3 = 29214) | 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 (87642 ÷ 6 = 14607) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (87642 ÷ 9 = 9738) | 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 5) | 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 87642 a prime number?
No. 87642 = 2 × × 541, so it is divisible by 2.
What are the factors of 87642?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 541, 1082, 1623, 3246, 4869, 9738, 14607, 29214, 43821, 87642.
What is 87642 in binary?
10101011001011010 (hexadecimal 1565A, octal 253132).
What is the square root of 87642?
About 296.0439, exactly 9√1082.
Is 87642 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87642?
87642 is a Harshad number: divisible by its digit sum 27.