The number 67130
67130 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 137. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 137, 245, 274, 490, 685, 959 … 67130.
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How to work it out
- 1
67130 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67130 is composite. Its prime factorisation is
- 3
The divisors add up to 141588; without 67130 itself that is 74458, so 67130 is abundant (74458 is more than 67130). Euler's totient φ(67130) = 22848 numbers up to 67130 share no factor with it.
- 4
The digits of 67130 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67130 = 2 \times 5 \times 7^{2} \times 137 \]67130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141588 |
| Euler totient φ(n) | 22848 |
| Square | 4506436900 |
| Cube | 302517109097000 |
| Square root | 259.094577 (= 7√1370) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.713 × |
67130 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and thirty |
| Binary (base 2) | 10000011000111010 |
| Octal (base 8) | 203072 |
| Hexadecimal (base 16) | 1063A |
| Base 3 | 10102002022 |
| As time | 67130 seconds = 18 h 38 min 50 s |
Is 67130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67130 ÷ 2 = 33565) | 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 (67130 ÷ 5 = 13426) | 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 (67130 ÷ 7 = 9590) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67130 ÷ 10 = 6713) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 67130 a prime number?
No. 67130 = 2 × 5 × × 137, so it is divisible by 2.
What are the factors of 67130?
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 137, 245, 274, 490, 685, 959, 1370, 1918, 4795, 6713, 9590, 13426, 33565, 67130.
What is 67130 in binary?
10000011000111010 (hexadecimal 1063A, octal 203072).
What is the square root of 67130?
About 259.0946, exactly 7√1370.
Is 67130 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67130?
It is a composite number with 24 divisors.