The number 77130
77130 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 857. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 857, 1714, 2571, 4285 … 77130.
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How to work it out
- 1
What is special about 77130: a Harshad number: divisible by its digit sum 18.
- 2
77130 is composite. Its prime factorisation is
- 3
The divisors add up to 200772; without 77130 itself that is 123642, so 77130 is abundant (123642 is more than 77130). Euler's totient φ(77130) = 20544 numbers up to 77130 share no factor with it.
- 4
The digits of 77130 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77130 = 2 \times 3^{2} \times 5 \times 857 \]77130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 200772 |
| Euler totient φ(n) | 20544 |
| Square | 5949036900 |
| Cube | 458849216097000 |
| Square root | 277.722883 (= 3√8570) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.713 × |
77130 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty |
| Binary (base 2) | 10010110101001010 |
| Octal (base 8) | 226512 |
| Hexadecimal (base 16) | 12D4A |
| Base 3 | 10220210200 |
| As time | 77130 seconds = 21 h 25 min 30 s |
Is 77130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77130 ÷ 2 = 38565) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77130 ÷ 3 = 25710) | 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 (77130 ÷ 5 = 15426) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77130 ÷ 6 = 12855) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (77130 ÷ 9 = 8570) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77130 ÷ 10 = 7713) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77130 a prime number?
No. 77130 = 2 × × 5 × 857, so it is divisible by 2.
What are the factors of 77130?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 857, 1714, 2571, 4285, 5142, 7713, 8570, 12855, 15426, 25710, 38565, 77130.
What is 77130 in binary?
10010110101001010 (hexadecimal 12D4A, octal 226512).
What is the square root of 77130?
About 277.7229, exactly 3√8570.
Is 77130 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77130?
77130 is a Harshad number: divisible by its digit sum 18.