The number 77475
77475 is a composite number with 12 divisors. Its prime factorisation is 3 × × 1033. Divisors (12): 1, 3, 5, 15, 25, 75, 1033, 3099, 5165, 15495, 25825, 77475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77475: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77475 is composite. Its prime factorisation is
- 3
The divisors add up to 128216; without 77475 itself that is 50741, so 77475 is deficient (50741 is less than 77475). Euler's totient φ(77475) = 41280 numbers up to 77475 share no factor with it.
- 4
The digits of 77475 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77475 = 3 \times 5^{2} \times 1033 \]77475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128216 |
| Euler totient φ(n) | 41280 |
| Square | 6002375625 |
| Cube | 465034051546875 |
| Square root | 278.343313 (= 5√3099) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7475 × |
77475 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and seventy-five |
| Binary (base 2) | 10010111010100011 |
| Octal (base 8) | 227243 |
| Hexadecimal (base 16) | 12EA3 |
| Base 3 | 10221021110 |
| As time | 77475 seconds = 21 h 31 min 15 s |
Is 77475 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 (77475 ÷ 3 = 25825) | 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 (77475 ÷ 5 = 15495) | 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 6) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77475 a prime number?
No. 77475 = 3 × × 1033, so it is divisible by 3.
What are the factors of 77475?
1, 3, 5, 15, 25, 75, 1033, 3099, 5165, 15495, 25825, 77475.
What is 77475 in binary?
10010111010100011 (hexadecimal 12EA3, octal 227243).
What is the square root of 77475?
About 278.3433, exactly 5√3099.
Is 77475 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77475?
77475 is a happy number: repeatedly adding the squares of its digits reaches 1.