The number 77675
77675 is a composite number with 12 divisors. Its prime factorisation is × 13 × 239. Divisors (12): 1, 5, 13, 25, 65, 239, 325, 1195, 3107, 5975, 15535, 77675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77675: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77675 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 77675 itself that is 26485, so 77675 is deficient (26485 is less than 77675). Euler's totient φ(77675) = 57120 numbers up to 77675 share no factor with it.
- 4
The digits of 77675 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77675 = 5^{2} \times 13 \times 239 \]77675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 57120 |
| Square | 6033405625 |
| Cube | 468644781921875 |
| Square root | 278.702350 (= 5√3107) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7675 × |
77675 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and seventy-five |
| Binary (base 2) | 10010111101101011 |
| Octal (base 8) | 227553 |
| Hexadecimal (base 16) | 12F6B |
| Base 3 | 10221112212 |
| As time | 77675 seconds = 21 h 34 min 35 s |
Is 77675 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77675 ÷ 5 = 15535) | 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 | No (remainder 3) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77675 a prime number?
No. 77675 = × 13 × 239, so it is divisible by 5.
What are the factors of 77675?
1, 5, 13, 25, 65, 239, 325, 1195, 3107, 5975, 15535, 77675.
What is 77675 in binary?
10010111101101011 (hexadecimal 12F6B, octal 227553).
What is the square root of 77675?
About 278.7024, exactly 5√3107.
Is 77675 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77675?
77675 is a happy number: repeatedly adding the squares of its digits reaches 1.