The number 29316
29316 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 349. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 349, 698, 1047, 1396 … 29316.
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How to work it out
- 1
What is special about 29316: a Harshad number: divisible by its digit sum 21.
- 2
29316 is composite. Its prime factorisation is
- 3
The divisors add up to 78400; without 29316 itself that is 49084, so 29316 is abundant (49084 is more than 29316). Euler's totient φ(29316) = 8352 numbers up to 29316 share no factor with it.
- 4
The digits of 29316 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29316 = 2^{2} \times 3 \times 7 \times 349 \]29316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78400 |
| Euler totient φ(n) | 8352 |
| Square | 859427856 |
| Cube | 25194987026496 |
| Square root | 171.219158 (= 2√7329) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.9316 × |
29316 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand three hundred and sixteen |
| Binary (base 2) | 111001010000100 |
| Octal (base 8) | 71204 |
| Hexadecimal (base 16) | 7284 |
| Base 3 | 1111012210 |
| As time | 29316 seconds = 8 h 8 min 36 s |
Is 29316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29316 ÷ 2 = 14658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29316 ÷ 3 = 9772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29316 ÷ 4 = 7329) | 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 (29316 ÷ 6 = 4886) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29316 ÷ 7 = 4188) | 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 3) | 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 (29316 ÷ 12 = 2443) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29316 a prime number?
No. 29316 = × 3 × 7 × 349, so it is divisible by 2.
What are the factors of 29316?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 349, 698, 1047, 1396, 2094, 2443, 4188, 4886, 7329, 9772, 14658, 29316.
What is 29316 in binary?
111001010000100 (hexadecimal 7284, octal 71204).
What is the square root of 29316?
About 171.2192, exactly 2√7329.
Is 29316 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29316?
29316 is a Harshad number: divisible by its digit sum 21.