The number 77575
77575 is a composite number with 12 divisors. Its prime factorisation is × 29 × 107. Divisors (12): 1, 5, 25, 29, 107, 145, 535, 725, 2675, 3103, 15515, 77575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77575 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77575 is composite. Its prime factorisation is
- 3
The divisors add up to 100440; without 77575 itself that is 22865, so 77575 is deficient (22865 is less than 77575). Euler's totient φ(77575) = 59360 numbers up to 77575 share no factor with it.
- 4
The digits of 77575 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77575 = 5^{2} \times 29 \times 107 \]77575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 100440 |
| Euler totient φ(n) | 59360 |
| Square | 6017880625 |
| Cube | 466837089484375 |
| Square root | 278.522890 (= 5√3103) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.7575 × |
77575 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and seventy-five |
| Binary (base 2) | 10010111100000111 |
| Octal (base 8) | 227407 |
| Hexadecimal (base 16) | 12F07 |
| Base 3 | 10221102011 |
| As time | 77575 seconds = 21 h 32 min 55 s |
Is 77575 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 | No (remainder 1) | 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 (77575 ÷ 5 = 15515) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77575 a prime number?
No. 77575 = × 29 × 107, so it is divisible by 5.
What are the factors of 77575?
1, 5, 25, 29, 107, 145, 535, 725, 2675, 3103, 15515, 77575.
What is 77575 in binary?
10010111100000111 (hexadecimal 12F07, octal 227407).
What is the square root of 77575?
About 278.5229, exactly 5√3103.
Is 77575 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77575?
It is a composite number with 12 divisors.