The number 17264
17264 is a composite number with 20 divisors. Its prime factorisation is × 13 × 83. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 83, 104, 166, 208, 332, 664, 1079, 1328 … 17264.
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How to work it out
- 1
17264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17264 is composite. Its prime factorisation is
- 3
The divisors add up to 36456; without 17264 itself that is 19192, so 17264 is abundant (19192 is more than 17264). Euler's totient φ(17264) = 7872 numbers up to 17264 share no factor with it.
- 4
The digits of 17264 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17264 = 2^{4} \times 13 \times 83 \]17264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 36456 |
| Euler totient φ(n) | 7872 |
| Square | 298045696 |
| Cube | 5145460895744 |
| Square root | 131.392542 (= 4√1079) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.7264 × |
17264 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and sixty-four |
| Binary (base 2) | 100001101110000 |
| Octal (base 8) | 41560 |
| Hexadecimal (base 16) | 4370 |
| Base 3 | 212200102 |
| As time | 17264 seconds = 4 h 47 min 44 s |
Is 17264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17264 ÷ 2 = 8632) | 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 (17264 ÷ 4 = 4316) | 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 2) | 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 (17264 ÷ 8 = 2158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | 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 17264 a prime number?
No. 17264 = × 13 × 83, so it is divisible by 2.
What are the factors of 17264?
1, 2, 4, 8, 13, 16, 26, 52, 83, 104, 166, 208, 332, 664, 1079, 1328, 2158, 4316, 8632, 17264.
What is 17264 in binary?
100001101110000 (hexadecimal 4370, octal 41560).
What is the square root of 17264?
About 131.3925, exactly 4√1079.
Is 17264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 17264?
It is a composite number with 20 divisors.