The number 77275
77275 is a composite number with 12 divisors. Its prime factorisation is × 11 × 281. Divisors (12): 1, 5, 11, 25, 55, 275, 281, 1405, 3091, 7025, 15455, 77275.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77275: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77275 is composite. Its prime factorisation is
- 3
The divisors add up to 104904; without 77275 itself that is 27629, so 77275 is deficient (27629 is less than 77275). Euler's totient φ(77275) = 56000 numbers up to 77275 share no factor with it.
- 4
The digits of 77275 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77275 = 5^{2} \times 11 \times 281 \]77275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104904 |
| Euler totient φ(n) | 56000 |
| Square | 5971425625 |
| Cube | 461441915171875 |
| Square root | 277.983812 (= 5√3091) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7275 × |
77275 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and seventy-five |
| Binary (base 2) | 10010110111011011 |
| Octal (base 8) | 226733 |
| Hexadecimal (base 16) | 12DDB |
| Base 3 | 10221000001 |
| As time | 77275 seconds = 21 h 27 min 55 s |
Is 77275 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 (77275 ÷ 5 = 15455) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (77275 ÷ 11 = 7025) | 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 77275 a prime number?
No. 77275 = × 11 × 281, so it is divisible by 5.
What are the factors of 77275?
1, 5, 11, 25, 55, 275, 281, 1405, 3091, 7025, 15455, 77275.
What is 77275 in binary?
10010110111011011 (hexadecimal 12DDB, octal 226733).
What is the square root of 77275?
About 277.9838, exactly 5√3091.
Is 77275 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77275?
77275 is a happy number: repeatedly adding the squares of its digits reaches 1.