The number 29003
29003 is a composite number with 8 divisors. Its prime factorisation is 13 × 23 × 97. Divisors (8): 1, 13, 23, 97, 299, 1261, 2231, 29003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29003: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29003 is composite. Its prime factorisation is
- 3
The divisors add up to 32928; without 29003 itself that is 3925, so 29003 is deficient (3925 is less than 29003). Euler's totient φ(29003) = 25344 numbers up to 29003 share no factor with it.
- 4
The digits of 29003 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29003 = 13 \times 23 \times 97 \]
29003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32928 |
| Euler totient φ(n) | 25344 |
| Square | 841174009 |
| Cube | 24396569783027 |
| Square root | 170.302672 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9003 × |
29003 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and three |
| Binary (base 2) | 111000101001011 |
| Octal (base 8) | 70513 |
| Hexadecimal (base 16) | 714B |
| Base 3 | 1110210012 |
| As time | 29003 seconds = 8 h 3 min 23 s |
Is 29003 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29003 a prime number?
No. 29003 = 13 × 23 × 97, so it is divisible by 13.
What are the factors of 29003?
1, 13, 23, 97, 299, 1261, 2231, 29003.
What is 29003 in binary?
111000101001011 (hexadecimal 714B, octal 70513).
What is the square root of 29003?
About 170.3027.
Is 29003 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 29003?
29003 is a happy number: repeatedly adding the squares of its digits reaches 1.