The number 29884
29884 is a composite number with 12 divisors. Its prime factorisation is × 31 × 241. Divisors (12): 1, 2, 4, 31, 62, 124, 241, 482, 964, 7471, 14942, 29884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29884: a Harshad number: divisible by its digit sum 31.
- 2
29884 is composite. Its prime factorisation is
- 3
The divisors add up to 54208; without 29884 itself that is 24324, so 29884 is deficient (24324 is less than 29884). Euler's totient φ(29884) = 14400 numbers up to 29884 share no factor with it.
- 4
The digits of 29884 add up to 31, 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
\[ 29884 = 2^{2} \times 31 \times 241 \]29884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54208 |
| Euler totient φ(n) | 14400 |
| Square | 893053456 |
| Cube | 26688009479104 |
| Square root | 172.869893 (= 2√7471) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9884 × |
29884 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eighty-four |
| Binary (base 2) | 111010010111100 |
| Octal (base 8) | 72274 |
| Hexadecimal (base 16) | 74BC |
| Base 3 | 1111222211 |
| As time | 29884 seconds = 8 h 18 min 4 s |
Is 29884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29884 ÷ 2 = 14942) | 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 (29884 ÷ 4 = 7471) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 29884 a prime number?
No. 29884 = × 31 × 241, so it is divisible by 2.
What are the factors of 29884?
1, 2, 4, 31, 62, 124, 241, 482, 964, 7471, 14942, 29884.
What is 29884 in binary?
111010010111100 (hexadecimal 74BC, octal 72274).
What is the square root of 29884?
About 172.8699, exactly 2√7471.
Is 29884 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 29884?
29884 is a Harshad number: divisible by its digit sum 31.