The number 29001
29001 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1381. Divisors (8): 1, 3, 7, 21, 1381, 4143, 9667, 29001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29001: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29001 is composite. Its prime factorisation is
- 3
The divisors add up to 44224; without 29001 itself that is 15223, so 29001 is deficient (15223 is less than 29001). Euler's totient φ(29001) = 16560 numbers up to 29001 share no factor with it.
- 4
The digits of 29001 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29001 = 3 \times 7 \times 1381 \]
29001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44224 |
| Euler totient φ(n) | 16560 |
| Square | 841058001 |
| Cube | 24391523087001 |
| Square root | 170.296800 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.9001 × |
29001 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and one |
| Binary (base 2) | 111000101001001 |
| Octal (base 8) | 70511 |
| Hexadecimal (base 16) | 7149 |
| Base 3 | 1110210010 |
| As time | 29001 seconds = 8 h 3 min 21 s |
Is 29001 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 (29001 ÷ 3 = 9667) | 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 | Yes (29001 ÷ 7 = 4143) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29001 a prime number?
No. 29001 = 3 × 7 × 1381, so it is divisible by 3.
What are the factors of 29001?
1, 3, 7, 21, 1381, 4143, 9667, 29001.
What is 29001 in binary?
111000101001001 (hexadecimal 7149, octal 70511).
What is the square root of 29001?
About 170.2968.
Is 29001 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 29001?
29001 is a happy number: repeatedly adding the squares of its digits reaches 1.