The number 29013
29013 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 509. Divisors (8): 1, 3, 19, 57, 509, 1527, 9671, 29013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29013 is composite. Its prime factorisation is
- 3
The divisors add up to 40800; without 29013 itself that is 11787, so 29013 is deficient (11787 is less than 29013). Euler's totient φ(29013) = 18288 numbers up to 29013 share no factor with it.
- 4
The digits of 29013 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29013 = 3 \times 19 \times 509 \]
29013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40800 |
| Euler totient φ(n) | 18288 |
| Square | 841754169 |
| Cube | 24421813705197 |
| Square root | 170.332029 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.9013 × |
29013 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and thirteen |
| Binary (base 2) | 111000101010101 |
| Octal (base 8) | 70525 |
| Hexadecimal (base 16) | 7155 |
| Base 3 | 1110210120 |
| As time | 29013 seconds = 8 h 3 min 33 s |
Is 29013 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 (29013 ÷ 3 = 9671) | 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 3) | 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 | No (remainder 5) | 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 6) | 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 6) | 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 29013 a prime number?
No. 29013 = 3 × 19 × 509, so it is divisible by 3.
What are the factors of 29013?
1, 3, 19, 57, 509, 1527, 9671, 29013.
What is 29013 in binary?
111000101010101 (hexadecimal 7155, octal 70525).
What is the square root of 29013?
About 170.3320.
Is 29013 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 29013?
It is a composite number with 8 divisors.