The number 29968
29968 is a composite number with 10 divisors. Its prime factorisation is × 1873. Divisors (10): 1, 2, 4, 8, 16, 1873, 3746, 7492, 14984, 29968.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29968 is composite. Its prime factorisation is
- 3
The divisors add up to 58094; without 29968 itself that is 28126, so 29968 is deficient (28126 is less than 29968). Euler's totient φ(29968) = 14976 numbers up to 29968 share no factor with it.
- 4
The digits of 29968 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29968 = 2^{4} \times 1873 \]29968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 58094 |
| Euler totient φ(n) | 14976 |
| Square | 898081024 |
| Cube | 26913692127232 |
| Square root | 173.112680 (= 4√1873) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9968 × |
29968 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixty-eight |
| Binary (base 2) | 111010100010000 |
| Octal (base 8) | 72420 |
| Hexadecimal (base 16) | 7510 |
| Base 3 | 1112002221 |
| As time | 29968 seconds = 8 h 19 min 28 s |
Is 29968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29968 ÷ 2 = 14984) | 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 | Yes (29968 ÷ 4 = 7492) | 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 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 | Yes (29968 ÷ 8 = 3746) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29968 a prime number?
No. 29968 = × 1873, so it is divisible by 2.
What are the factors of 29968?
1, 2, 4, 8, 16, 1873, 3746, 7492, 14984, 29968.
What is 29968 in binary?
111010100010000 (hexadecimal 7510, octal 72420).
What is the square root of 29968?
About 173.1127, exactly 4√1873.
Is 29968 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 29968?
It is a composite number with 10 divisors.