The number 29021
29021 is a twin prime (29021 and 29023 are both prime) and the 3156th prime number. Its only divisors are 1 and 29021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29021: a twin prime (29021 and 29023 are both prime); the 3156th prime number.
- 2
29021 is prime, so its only factors are 1 and 29021. It is the 3156th prime; the next prime is 29023 and the one before is 29017.
- 3
The divisors add up to 29022; without 29021 itself that is 1, so 29021 is deficient (1 is less than 29021). Euler's totient φ(29021) = 29020 numbers up to 29021 share no factor with it.
- 4
The digits of 29021 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
29021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29022 |
| Euler totient φ(n) | 29020 |
| Square | 842218441 |
| Cube | 24442021376261 |
| Square root | 170.355511 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.9021 × |
29021 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and twenty-one |
| Binary (base 2) | 111000101011101 |
| Octal (base 8) | 70535 |
| Hexadecimal (base 16) | 715D |
| Base 3 | 1110210212 |
| As time | 29021 seconds = 8 h 3 min 41 s |
Is 29021 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29021 a prime number?
Yes. 29021 is divisible only by 1 and itself.
What are the factors of 29021?
1, 29021.
What is 29021 in binary?
111000101011101 (hexadecimal 715D, octal 70535).
What is the square root of 29021?
About 170.3555.
Is 29021 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 29021?
29021 is a twin prime (29021 and 29023 are both prime); the 3156th prime number.