The number 77673
77673 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1523. Divisors (8): 1, 3, 17, 51, 1523, 4569, 25891, 77673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77673: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77673 is composite. Its prime factorisation is
- 3
The divisors add up to 109728; without 77673 itself that is 32055, so 77673 is deficient (32055 is less than 77673). Euler's totient φ(77673) = 48704 numbers up to 77673 share no factor with it.
- 4
The digits of 77673 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
\[ 77673 = 3 \times 17 \times 1523 \]
77673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109728 |
| Euler totient φ(n) | 48704 |
| Square | 6033094929 |
| Cube | 468608582420217 |
| Square root | 278.698762 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7673 × |
77673 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and seventy-three |
| Binary (base 2) | 10010111101101001 |
| Octal (base 8) | 227551 |
| Hexadecimal (base 16) | 12F69 |
| Base 3 | 10221112210 |
| As time | 77673 seconds = 21 h 34 min 33 s |
Is 77673 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 (77673 ÷ 3 = 25891) | 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 | No (remainder 3) | 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 1) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77673 a prime number?
No. 77673 = 3 × 17 × 1523, so it is divisible by 3.
What are the factors of 77673?
1, 3, 17, 51, 1523, 4569, 25891, 77673.
What is 77673 in binary?
10010111101101001 (hexadecimal 12F69, octal 227551).
What is the square root of 77673?
About 278.6988.
Is 77673 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77673?
77673 is a happy number: repeatedly adding the squares of its digits reaches 1.