The number 77085
77085 is a composite number with 16 divisors. Its prime factorisation is × 5 × 571. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 571, 1713, 2855, 5139, 8565, 15417, 25695, 77085.
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How to work it out
- 1
What is special about 77085: a Harshad number: divisible by its digit sum 27.
- 2
77085 is composite. Its prime factorisation is
- 3
The divisors add up to 137280; without 77085 itself that is 60195, so 77085 is deficient (60195 is less than 77085). Euler's totient φ(77085) = 41040 numbers up to 77085 share no factor with it.
- 4
The digits of 77085 add up to 27, 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
\[ 77085 = 3^{3} \times 5 \times 571 \]77085 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137280 |
| Euler totient φ(n) | 41040 |
| Square | 5942097225 |
| Cube | 458046564589125 |
| Square root | 277.641856 (= 3√8565) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7085 × |
77085 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and eighty-five |
| Binary (base 2) | 10010110100011101 |
| Octal (base 8) | 226435 |
| Hexadecimal (base 16) | 12D1D |
| Base 3 | 10220202000 |
| As time | 77085 seconds = 21 h 24 min 45 s |
Is 77085 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77085 ÷ 3 = 25695) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77085 ÷ 5 = 15417) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77085 ÷ 9 = 8565) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77085 a prime number?
No. 77085 = × 5 × 571, so it is divisible by 3.
What are the factors of 77085?
1, 3, 5, 9, 15, 27, 45, 135, 571, 1713, 2855, 5139, 8565, 15417, 25695, 77085.
What is 77085 in binary?
10010110100011101 (hexadecimal 12D1D, octal 226435).
What is the square root of 77085?
About 277.6419, exactly 3√8565.
Is 77085 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77085?
77085 is a Harshad number: divisible by its digit sum 27.