The number 76221
76221 is a composite number with 10 divisors. Its prime factorisation is × 941. Divisors (10): 1, 3, 9, 27, 81, 941, 2823, 8469, 25407, 76221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76221: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76221 is composite. Its prime factorisation is
- 3
The divisors add up to 113982; without 76221 itself that is 37761, so 76221 is deficient (37761 is less than 76221). Euler's totient φ(76221) = 50760 numbers up to 76221 share no factor with it.
- 4
The digits of 76221 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76221 = 3^{4} \times 941 \]76221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 113982 |
| Euler totient φ(n) | 50760 |
| Square | 5809640841 |
| Cube | 442816634541861 |
| Square root | 276.081510 (= 9√941) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.6221 × |
76221 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand two hundred and twenty-one |
| Binary (base 2) | 10010100110111101 |
| Octal (base 8) | 224675 |
| Hexadecimal (base 16) | 129BD |
| Base 3 | 10212120000 |
| As time | 76221 seconds = 21 h 10 min 21 s |
Is 76221 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 (76221 ÷ 3 = 25407) | 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 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76221 ÷ 9 = 8469) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76221 a prime number?
No. 76221 = × 941, so it is divisible by 3.
What are the factors of 76221?
1, 3, 9, 27, 81, 941, 2823, 8469, 25407, 76221.
What is 76221 in binary?
10010100110111101 (hexadecimal 129BD, octal 224675).
What is the square root of 76221?
About 276.0815, exactly 9√941.
Is 76221 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76221?
76221 is a happy number: repeatedly adding the squares of its digits reaches 1.