The number 29967
29967 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1427. Divisors (8): 1, 3, 7, 21, 1427, 4281, 9989, 29967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29967 is composite. Its prime factorisation is
- 3
The divisors add up to 45696; without 29967 itself that is 15729, so 29967 is deficient (15729 is less than 29967). Euler's totient φ(29967) = 17112 numbers up to 29967 share no factor with it.
- 4
The digits of 29967 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29967 = 3 \times 7 \times 1427 \]
29967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45696 |
| Euler totient φ(n) | 17112 |
| Square | 898021089 |
| Cube | 26910997974063 |
| Square root | 173.109792 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9967 × |
29967 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixty-seven |
| Binary (base 2) | 111010100001111 |
| Octal (base 8) | 72417 |
| Hexadecimal (base 16) | 750F |
| Base 3 | 1112002220 |
| As time | 29967 seconds = 8 h 19 min 27 s |
Is 29967 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 (29967 ÷ 3 = 9989) | 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 2) | 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 (29967 ÷ 7 = 4281) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29967 a prime number?
No. 29967 = 3 × 7 × 1427, so it is divisible by 3.
What are the factors of 29967?
1, 3, 7, 21, 1427, 4281, 9989, 29967.
What is 29967 in binary?
111010100001111 (hexadecimal 750F, octal 72417).
What is the square root of 29967?
About 173.1098.
Is 29967 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29967?
It is a composite number with 8 divisors.