The number 29916
29916 is a composite number with 24 divisors. Its prime factorisation is × × 277. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 277, 554, 831, 1108 … 29916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29916: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
29916 is composite. Its prime factorisation is
- 3
The divisors add up to 77840; without 29916 itself that is 47924, so 29916 is abundant (47924 is more than 29916). Euler's totient φ(29916) = 9936 numbers up to 29916 share no factor with it.
- 4
The digits of 29916 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29916 = 2^{2} \times 3^{3} \times 277 \]29916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77840 |
| Euler totient φ(n) | 9936 |
| Square | 894967056 |
| Cube | 26773834447296 |
| Square root | 172.962424 (= 6√831) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 2.9916 × |
29916 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixteen |
| Binary (base 2) | 111010011011100 |
| Octal (base 8) | 72334 |
| Hexadecimal (base 16) | 74DC |
| Base 3 | 1112001000 |
| As time | 29916 seconds = 8 h 18 min 36 s |
Is 29916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29916 ÷ 2 = 14958) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29916 ÷ 3 = 9972) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29916 ÷ 4 = 7479) | 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 (29916 ÷ 6 = 4986) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (29916 ÷ 9 = 3324) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29916 ÷ 12 = 2493) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29916 a prime number?
No. 29916 = × × 277, so it is divisible by 2.
What are the factors of 29916?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 7479, 9972, 14958, 29916.
What is 29916 in binary?
111010011011100 (hexadecimal 74DC, octal 72334).
What is the square root of 29916?
About 172.9624, exactly 6√831.
Is 29916 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29916?
29916 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.