The number 77355
77355 is a composite number with 20 divisors. Its prime factorisation is × 5 × 191. Divisors (20): 1, 3, 5, 9, 15, 27, 45, 81, 135, 191, 405, 573, 955, 1719, 2865, 5157 … 77355.
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How to work it out
- 1
What is special about 77355: a Harshad number: divisible by its digit sum 27.
- 2
77355 is composite. Its prime factorisation is
- 3
The divisors add up to 139392; without 77355 itself that is 62037, so 77355 is deficient (62037 is less than 77355). Euler's totient φ(77355) = 41040 numbers up to 77355 share no factor with it.
- 4
The digits of 77355 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
\[ 77355 = 3^{4} \times 5 \times 191 \]77355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 139392 |
| Euler totient φ(n) | 41040 |
| Square | 5983796025 |
| Cube | 462876541513875 |
| Square root | 278.127669 (= 9√955) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7355 × |
77355 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and fifty-five |
| Binary (base 2) | 10010111000101011 |
| Octal (base 8) | 227053 |
| Hexadecimal (base 16) | 12E2B |
| Base 3 | 10221010000 |
| As time | 77355 seconds = 21 h 29 min 15 s |
Is 77355 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 (77355 ÷ 3 = 25785) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77355 ÷ 5 = 15471) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77355 ÷ 9 = 8595) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77355 a prime number?
No. 77355 = × 5 × 191, so it is divisible by 3.
What are the factors of 77355?
1, 3, 5, 9, 15, 27, 45, 81, 135, 191, 405, 573, 955, 1719, 2865, 5157, 8595, 15471, 25785, 77355.
What is 77355 in binary?
10010111000101011 (hexadecimal 12E2B, octal 227053).
What is the square root of 77355?
About 278.1277, exactly 9√955.
Is 77355 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77355?
77355 is a Harshad number: divisible by its digit sum 27.