The number 77676
77676 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6473. Divisors (12): 1, 2, 3, 4, 6, 12, 6473, 12946, 19419, 25892, 38838, 77676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77676: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77676 is composite. Its prime factorisation is
- 3
The divisors add up to 181272; without 77676 itself that is 103596, so 77676 is abundant (103596 is more than 77676). Euler's totient φ(77676) = 25888 numbers up to 77676 share no factor with it.
- 4
The digits of 77676 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77676 = 2^{2} \times 3 \times 6473 \]77676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 181272 |
| Euler totient φ(n) | 25888 |
| Square | 6033560976 |
| Cube | 468662882371776 |
| Square root | 278.704144 (= 2√19419) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7676 × |
77676 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and seventy-six |
| Binary (base 2) | 10010111101101100 |
| Octal (base 8) | 227554 |
| Hexadecimal (base 16) | 12F6C |
| Base 3 | 10221112220 |
| As time | 77676 seconds = 21 h 34 min 36 s |
Is 77676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77676 ÷ 2 = 38838) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77676 ÷ 3 = 25892) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77676 ÷ 4 = 19419) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77676 ÷ 6 = 12946) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77676 ÷ 12 = 6473) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77676 a prime number?
No. 77676 = × 3 × 6473, so it is divisible by 2.
What are the factors of 77676?
1, 2, 3, 4, 6, 12, 6473, 12946, 19419, 25892, 38838, 77676.
What is 77676 in binary?
10010111101101100 (hexadecimal 12F6C, octal 227554).
What is the square root of 77676?
About 278.7041, exactly 2√19419.
Is 77676 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77676?
77676 is a happy number: repeatedly adding the squares of its digits reaches 1.