The number 87670
87670 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 797. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 797, 1594, 3985, 7970, 8767, 17534, 43835, 87670.
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How to work it out
- 1
87670 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87670 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 87670 itself that is 84698, so 87670 is deficient (84698 is less than 87670). Euler's totient φ(87670) = 31840 numbers up to 87670 share no factor with it.
- 4
The digits of 87670 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87670 = 2 \times 5 \times 11 \times 797 \]
87670 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 31840 |
| Square | 7686028900 |
| Cube | 673834153663000 |
| Square root | 296.091202 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.767 × |
87670 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and seventy |
| Binary (base 2) | 10101011001110110 |
| Octal (base 8) | 253166 |
| Hexadecimal (base 16) | 15676 |
| Base 3 | 11110021001 |
| As time | 87670 seconds = 24 h 21 min 10 s |
Is 87670 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87670 ÷ 2 = 43835) | 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 (87670 ÷ 5 = 17534) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (87670 ÷ 10 = 8767) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87670 ÷ 11 = 7970) | 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 87670 a prime number?
No. 87670 = 2 × 5 × 11 × 797, so it is divisible by 2.
What are the factors of 87670?
1, 2, 5, 10, 11, 22, 55, 110, 797, 1594, 3985, 7970, 8767, 17534, 43835, 87670.
What is 87670 in binary?
10101011001110110 (hexadecimal 15676, octal 253166).
What is the square root of 87670?
About 296.0912.
Is 87670 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87670?
It is a composite number with 16 divisors.