The number 88130
88130 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1259. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1259, 2518, 6295, 8813, 12590, 17626, 44065, 88130.
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How to work it out
- 1
88130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88130 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 88130 itself that is 93310, so 88130 is abundant (93310 is more than 88130). Euler's totient φ(88130) = 30192 numbers up to 88130 share no factor with it.
- 4
The digits of 88130 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88130 = 2 \times 5 \times 7 \times 1259 \]
88130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 30192 |
| Square | 7766896900 |
| Cube | 684496623797000 |
| Square root | 296.866974 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.813 × |
88130 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and thirty |
| Binary (base 2) | 10101100001000010 |
| Octal (base 8) | 254102 |
| Hexadecimal (base 16) | 15842 |
| Base 3 | 11110220002 |
| As time | 88130 seconds = 24 h 28 min 50 s |
Is 88130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88130 ÷ 2 = 44065) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 (88130 ÷ 5 = 17626) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (88130 ÷ 7 = 12590) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (88130 ÷ 10 = 8813) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88130 a prime number?
No. 88130 = 2 × 5 × 7 × 1259, so it is divisible by 2.
What are the factors of 88130?
1, 2, 5, 7, 10, 14, 35, 70, 1259, 2518, 6295, 8813, 12590, 17626, 44065, 88130.
What is 88130 in binary?
10101100001000010 (hexadecimal 15842, octal 254102).
What is the square root of 88130?
About 296.8670.
Is 88130 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88130?
It is a composite number with 16 divisors.