The number 77025
77025 is a composite number with 24 divisors. Its prime factorisation is 3 × × 13 × 79. Divisors (24): 1, 3, 5, 13, 15, 25, 39, 65, 75, 79, 195, 237, 325, 395, 975, 1027 … 77025.
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How to work it out
- 1
77025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77025 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 77025 itself that is 61855, so 77025 is deficient (61855 is less than 77025). Euler's totient φ(77025) = 37440 numbers up to 77025 share no factor with it.
- 4
The digits of 77025 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77025 = 3 \times 5^{2} \times 13 \times 79 \]77025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 37440 |
| Square | 5932850625 |
| Cube | 456977819390625 |
| Square root | 277.533782 (= 5√3081) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.7025 × |
77025 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twenty-five |
| Binary (base 2) | 10010110011100001 |
| Octal (base 8) | 226341 |
| Hexadecimal (base 16) | 12CE1 |
| Base 3 | 10220122210 |
| As time | 77025 seconds = 21 h 23 min 45 s |
Is 77025 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 (77025 ÷ 3 = 25675) | 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 (77025 ÷ 5 = 15405) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77025 a prime number?
No. 77025 = 3 × × 13 × 79, so it is divisible by 3.
What are the factors of 77025?
1, 3, 5, 13, 15, 25, 39, 65, 75, 79, 195, 237, 325, 395, 975, 1027, 1185, 1975, 3081, 5135, 5925, 15405, 25675, 77025.
What is 77025 in binary?
10010110011100001 (hexadecimal 12CE1, octal 226341).
What is the square root of 77025?
About 277.5338, exactly 5√3081.
Is 77025 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77025?
It is a composite number with 24 divisors.