The number 76729
76729 is a perfect square (277²). Its prime factorisation is . Divisors (3): 1, 277, 76729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76729: a perfect square (277²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (277²).
- 2
76729 is composite. Its prime factorisation is
- 3
The divisors add up to 77007; without 76729 itself that is 278, so 76729 is deficient (278 is less than 76729). Euler's totient φ(76729) = 76452 numbers up to 76729 share no factor with it.
- 4
The digits of 76729 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76729 = 277^{2} \]76729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 77007 |
| Euler totient φ(n) | 76452 |
| Square | 5887339441 |
| Cube | 451729667968489 |
| Square root | 277 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.6729 × |
| Perfect power |
76729 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and twenty-nine |
| Binary (base 2) | 10010101110111001 |
| Octal (base 8) | 225671 |
| Hexadecimal (base 16) | 12BB9 |
| Base 3 | 10220020211 |
| As time | 76729 seconds = 21 h 18 min 49 s |
Is 76729 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76729 a prime number?
No. 76729 = , so it is divisible by 277.
What are the factors of 76729?
1, 277, 76729.
What is 76729 in binary?
10010101110111001 (hexadecimal 12BB9, octal 225671).
What is the square root of 76729?
277, because 277 × 277 = 76729.
Is 76729 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 76729?
76729 is a perfect square (277²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (277²).