The number 29264
29264 is a composite number with 20 divisors. Its prime factorisation is × 31 × 59. Divisors (20): 1, 2, 4, 8, 16, 31, 59, 62, 118, 124, 236, 248, 472, 496, 944, 1829 … 29264.
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How to work it out
- 1
29264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29264 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 29264 itself that is 30256, so 29264 is abundant (30256 is more than 29264). Euler's totient φ(29264) = 13920 numbers up to 29264 share no factor with it.
- 4
The digits of 29264 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29264 = 2^{4} \times 31 \times 59 \]29264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 13920 |
| Square | 856381696 |
| Cube | 25061153951744 |
| Square root | 171.067238 (= 4√1829) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9264 × |
29264 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and sixty-four |
| Binary (base 2) | 111001001010000 |
| Octal (base 8) | 71120 |
| Hexadecimal (base 16) | 7250 |
| Base 3 | 1111010212 |
| As time | 29264 seconds = 8 h 7 min 44 s |
Is 29264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29264 ÷ 2 = 14632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29264 ÷ 4 = 7316) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (29264 ÷ 8 = 3658) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29264 a prime number?
No. 29264 = × 31 × 59, so it is divisible by 2.
What are the factors of 29264?
1, 2, 4, 8, 16, 31, 59, 62, 118, 124, 236, 248, 472, 496, 944, 1829, 3658, 7316, 14632, 29264.
What is 29264 in binary?
111001001010000 (hexadecimal 7250, octal 71120).
What is the square root of 29264?
About 171.0672, exactly 4√1829.
Is 29264 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29264?
It is a composite number with 20 divisors.