The number 77525
77525 is a composite number with 12 divisors. Its prime factorisation is × 7 × 443. Divisors (12): 1, 5, 7, 25, 35, 175, 443, 2215, 3101, 11075, 15505, 77525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77525 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77525 is composite. Its prime factorisation is
- 3
The divisors add up to 110112; without 77525 itself that is 32587, so 77525 is deficient (32587 is less than 77525). Euler's totient φ(77525) = 53040 numbers up to 77525 share no factor with it.
- 4
The digits of 77525 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77525 = 5^{2} \times 7 \times 443 \]77525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110112 |
| Euler totient φ(n) | 53040 |
| Square | 6010125625 |
| Cube | 465934989078125 |
| Square root | 278.433116 (= 5√3101) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7525 × |
77525 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and twenty-five |
| Binary (base 2) | 10010111011010101 |
| Octal (base 8) | 227325 |
| Hexadecimal (base 16) | 12ED5 |
| Base 3 | 10221100022 |
| As time | 77525 seconds = 21 h 32 min 5 s |
Is 77525 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 2) | 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 (77525 ÷ 5 = 15505) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77525 ÷ 7 = 11075) | 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 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77525 a prime number?
No. 77525 = × 7 × 443, so it is divisible by 5.
What are the factors of 77525?
1, 5, 7, 25, 35, 175, 443, 2215, 3101, 11075, 15505, 77525.
What is 77525 in binary?
10010111011010101 (hexadecimal 12ED5, octal 227325).
What is the square root of 77525?
About 278.4331, exactly 5√3101.
Is 77525 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77525?
It is a composite number with 12 divisors.