The number 29002
29002 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 853. Divisors (8): 1, 2, 17, 34, 853, 1706, 14501, 29002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29002 is composite. Its prime factorisation is
- 3
The divisors add up to 46116; without 29002 itself that is 17114, so 29002 is deficient (17114 is less than 29002). Euler's totient φ(29002) = 13632 numbers up to 29002 share no factor with it.
- 4
The digits of 29002 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29002 = 2 \times 17 \times 853 \]
29002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46116 |
| Euler totient φ(n) | 13632 |
| Square | 841116004 |
| Cube | 24394046348008 |
| Square root | 170.299736 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9002 × |
29002 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and two |
| Binary (base 2) | 111000101001010 |
| Octal (base 8) | 70512 |
| Hexadecimal (base 16) | 714A |
| Base 3 | 1110210011 |
| As time | 29002 seconds = 8 h 3 min 22 s |
Is 29002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29002 ÷ 2 = 14501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29002 a prime number?
No. 29002 = 2 × 17 × 853, so it is divisible by 2.
What are the factors of 29002?
1, 2, 17, 34, 853, 1706, 14501, 29002.
What is 29002 in binary?
111000101001010 (hexadecimal 714A, octal 70512).
What is the square root of 29002?
About 170.2997.
Is 29002 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 29002?
It is a composite number with 8 divisors.