The number 87010
87010 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 11 × 113. Divisors (32): 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 113, 154, 226 … 87010.
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How to work it out
- 1
87010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87010 is composite. Its prime factorisation is
- 3
The divisors add up to 196992; without 87010 itself that is 109982, so 87010 is abundant (109982 is more than 87010). Euler's totient φ(87010) = 26880 numbers up to 87010 share no factor with it.
- 4
The digits of 87010 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87010 = 2 \times 5 \times 7 \times 11 \times 113 \]
87010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 196992 |
| Euler totient φ(n) | 26880 |
| Square | 7570740100 |
| Cube | 658730096101000 |
| Square root | 294.974575 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.701 × |
87010 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and ten |
| Binary (base 2) | 10101001111100010 |
| Octal (base 8) | 251742 |
| Hexadecimal (base 16) | 153E2 |
| Base 3 | 11102100121 |
| As time | 87010 seconds = 24 h 10 min 10 s |
Is 87010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87010 ÷ 2 = 43505) | 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 (87010 ÷ 5 = 17402) | 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 (87010 ÷ 7 = 12430) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87010 ÷ 10 = 8701) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87010 ÷ 11 = 7910) | 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 87010 a prime number?
No. 87010 = 2 × 5 × 7 × 11 × 113, so it is divisible by 2.
What are the factors of 87010?
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 113, 154, 226, 385, 565, 770, 791, 1130, 1243, 1582, 2486, 3955, 6215, 7910, 8701, 12430, 17402, 43505, 87010.
What is 87010 in binary?
10101001111100010 (hexadecimal 153E2, octal 251742).
What is the square root of 87010?
About 294.9746.
Is 87010 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 87010?
It is a composite number with 32 divisors.