The number 29976
29976 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1249. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1249, 2498, 3747, 4996, 7494, 9992, 14988, 29976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29976 is composite. Its prime factorisation is
- 3
The divisors add up to 75000; without 29976 itself that is 45024, so 29976 is abundant (45024 is more than 29976). Euler's totient φ(29976) = 9984 numbers up to 29976 share no factor with it.
- 4
The digits of 29976 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29976 = 2^{3} \times 3 \times 1249 \]29976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75000 |
| Euler totient φ(n) | 9984 |
| Square | 898560576 |
| Cube | 26935251826176 |
| Square root | 173.135785 (= 2√7494) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.9976 × |
29976 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-six |
| Binary (base 2) | 111010100011000 |
| Octal (base 8) | 72430 |
| Hexadecimal (base 16) | 7518 |
| Base 3 | 1112010020 |
| As time | 29976 seconds = 8 h 19 min 36 s |
Is 29976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29976 ÷ 2 = 14988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29976 ÷ 3 = 9992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29976 ÷ 4 = 7494) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29976 ÷ 6 = 4996) | 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 | Yes (29976 ÷ 8 = 3747) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29976 ÷ 12 = 2498) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29976 a prime number?
No. 29976 = × 3 × 1249, so it is divisible by 2.
What are the factors of 29976?
1, 2, 3, 4, 6, 8, 12, 24, 1249, 2498, 3747, 4996, 7494, 9992, 14988, 29976.
What is 29976 in binary?
111010100011000 (hexadecimal 7518, octal 72430).
What is the square root of 29976?
About 173.1358, exactly 2√7494.
Is 29976 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29976?
It is a composite number with 16 divisors.