The number 77625
77625 is a composite number with 32 divisors. Its prime factorisation is × × 23. Divisors (32): 1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 125, 135, 207, 225 … 77625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77625: a Harshad number: divisible by its digit sum 27.
- 2
77625 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 77625 itself that is 72135, so 77625 is deficient (72135 is less than 77625). Euler's totient φ(77625) = 39600 numbers up to 77625 share no factor with it.
- 4
The digits of 77625 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
\[ 77625 = 3^{3} \times 5^{3} \times 23 \]77625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 39600 |
| Square | 6025640625 |
| Cube | 467740353515625 |
| Square root | 278.612634 (= 15√345) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7625 × |
77625 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and twenty-five |
| Binary (base 2) | 10010111100111001 |
| Octal (base 8) | 227471 |
| Hexadecimal (base 16) | 12F39 |
| Base 3 | 10221111000 |
| As time | 77625 seconds = 21 h 33 min 45 s |
Is 77625 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 (77625 ÷ 3 = 25875) | 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 (77625 ÷ 5 = 15525) | 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 2) | 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 | Yes (77625 ÷ 9 = 8625) | 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 9) | 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 77625 a prime number?
No. 77625 = × × 23, so it is divisible by 3.
What are the factors of 77625?
1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 115, 125, 135, 207, 225, 345, 375, 575, 621, 675, 1035, 1125, 1725, 2875, 3105, 3375, 5175, 8625, 15525, 25875, 77625.
What is 77625 in binary?
10010111100111001 (hexadecimal 12F39, octal 227471).
What is the square root of 77625?
About 278.6126, exactly 15√345.
Is 77625 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77625?
77625 is a Harshad number: divisible by its digit sum 27.