The number 29009
29009 is the 3154th prime number. Its only divisors are 1 and 29009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29009: the 3154th prime number.
- 2
29009 is prime, so its only factors are 1 and 29009. It is the 3154th prime; the next prime is 29017 and the one before is 28979.
- 3
The divisors add up to 29010; without 29009 itself that is 1, so 29009 is deficient (1 is less than 29009). Euler's totient φ(29009) = 29008 numbers up to 29009 share no factor with it.
- 4
The digits of 29009 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
29009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 29010 |
| Euler totient φ(n) | 29008 |
| Square | 841522081 |
| Cube | 24411714047729 |
| Square root | 170.320287 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9009 × |
29009 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and nine |
| Binary (base 2) | 111000101010001 |
| Octal (base 8) | 70521 |
| Hexadecimal (base 16) | 7151 |
| Base 3 | 1110210102 |
| As time | 29009 seconds = 8 h 3 min 29 s |
Is 29009 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 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 29009 a prime number?
Yes. 29009 is divisible only by 1 and itself.
What are the factors of 29009?
1, 29009.
What is 29009 in binary?
111000101010001 (hexadecimal 7151, octal 70521).
What is the square root of 29009?
About 170.3203.
Is 29009 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29009?
29009 is the 3154th prime number.