The number 29221
29221 is the 3177th prime number. Its only divisors are 1 and 29221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29221: the 3177th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29221 is prime, so its only factors are 1 and 29221. It is the 3177th prime; the next prime is 29231 and the one before is 29209.
- 3
The divisors add up to 29222; without 29221 itself that is 1, so 29221 is deficient (1 is less than 29221). Euler's totient φ(29221) = 29220 numbers up to 29221 share no factor with it.
- 4
The digits of 29221 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 196 steps to reach 1.
29221 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29222 |
| Euler totient φ(n) | 29220 |
| Square | 853866841 |
| Cube | 24950842960861 |
| Square root | 170.941510 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 196 |
| Scientific notation | 2.9221 × |
29221 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and twenty-one |
| Binary (base 2) | 111001000100101 |
| Octal (base 8) | 71045 |
| Hexadecimal (base 16) | 7225 |
| Base 3 | 1111002021 |
| As time | 29221 seconds = 8 h 7 min 1 s |
Is 29221 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 1) | 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 3) | 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 | No (remainder 7) | 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 5) | 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 29221 a prime number?
Yes. 29221 is divisible only by 1 and itself.
What are the factors of 29221?
1, 29221.
What is 29221 in binary?
111001000100101 (hexadecimal 7225, octal 71045).
What is the square root of 29221?
About 170.9415.
Is 29221 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 29221?
29221 is the 3177th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.