The number 77211
77211 is a composite number with 12 divisors. Its prime factorisation is × 23 × 373. Divisors (12): 1, 3, 9, 23, 69, 207, 373, 1119, 3357, 8579, 25737, 77211.
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How to work it out
- 1
77211 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77211 is composite. Its prime factorisation is
- 3
The divisors add up to 116688; without 77211 itself that is 39477, so 77211 is deficient (39477 is less than 77211). Euler's totient φ(77211) = 49104 numbers up to 77211 share no factor with it.
- 4
The digits of 77211 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77211 = 3^{2} \times 23 \times 373 \]77211 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116688 |
| Euler totient φ(n) | 49104 |
| Square | 5961538521 |
| Cube | 460296350744931 |
| Square root | 277.868674 (= 3√8579) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7211 × |
77211 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and eleven |
| Binary (base 2) | 10010110110011011 |
| Octal (base 8) | 226633 |
| Hexadecimal (base 16) | 12D9B |
| Base 3 | 10220220200 |
| As time | 77211 seconds = 21 h 26 min 51 s |
Is 77211 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 (77211 ÷ 3 = 25737) | 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 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77211 ÷ 9 = 8579) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 77211 a prime number?
No. 77211 = × 23 × 373, so it is divisible by 3.
What are the factors of 77211?
1, 3, 9, 23, 69, 207, 373, 1119, 3357, 8579, 25737, 77211.
What is 77211 in binary?
10010110110011011 (hexadecimal 12D9B, octal 226633).
What is the square root of 77211?
About 277.8687, exactly 3√8579.
Is 77211 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77211?
It is a composite number with 12 divisors.