The number 29764
29764 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1063. Divisors (12): 1, 2, 4, 7, 14, 28, 1063, 2126, 4252, 7441, 14882, 29764.
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How to work it out
- 1
What is special about 29764: a Harshad number: divisible by its digit sum 28.
- 2
29764 is composite. Its prime factorisation is
- 3
The divisors add up to 59584; without 29764 itself that is 29820, so 29764 is abundant (29820 is more than 29764). Euler's totient φ(29764) = 12744 numbers up to 29764 share no factor with it.
- 4
The digits of 29764 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29764 = 2^{2} \times 7 \times 1063 \]29764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59584 |
| Euler totient φ(n) | 12744 |
| Square | 885895696 |
| Cube | 26367799495744 |
| Square root | 172.522462 (= 2√7441) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9764 × |
29764 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and sixty-four |
| Binary (base 2) | 111010001000100 |
| Octal (base 8) | 72104 |
| Hexadecimal (base 16) | 7444 |
| Base 3 | 1111211101 |
| As time | 29764 seconds = 8 h 16 min 4 s |
Is 29764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29764 ÷ 2 = 14882) | 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 (29764 ÷ 4 = 7441) | 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 | Yes (29764 ÷ 7 = 4252) | 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 1) | 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 9) | 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 29764 a prime number?
No. 29764 = × 7 × 1063, so it is divisible by 2.
What are the factors of 29764?
1, 2, 4, 7, 14, 28, 1063, 2126, 4252, 7441, 14882, 29764.
What is 29764 in binary?
111010001000100 (hexadecimal 7444, octal 72104).
What is the square root of 29764?
About 172.5225, exactly 2√7441.
Is 29764 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 29764?
29764 is a Harshad number: divisible by its digit sum 28.