The number 16864
16864 is a composite number with 24 divisors. Its prime factorisation is × 17 × 31. Divisors (24): 1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 68, 124, 136, 248, 272, 496 … 16864.
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How to work it out
- 1
16864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16864 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 16864 itself that is 19424, so 16864 is abundant (19424 is more than 16864). Euler's totient φ(16864) = 7680 numbers up to 16864 share no factor with it.
- 4
The digits of 16864 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16864 = 2^{5} \times 17 \times 31 \]16864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 7680 |
| Square | 284394496 |
| Cube | 4796028780544 |
| Square root | 129.861465 (= 4√1054) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.6864 × |
16864 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and sixty-four |
| Binary (base 2) | 100000111100000 |
| Octal (base 8) | 40740 |
| Hexadecimal (base 16) | 41E0 |
| Base 3 | 212010121 |
| As time | 16864 seconds = 4 h 41 min 4 s |
Is 16864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16864 ÷ 2 = 8432) | 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 (16864 ÷ 4 = 4216) | 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 | No (remainder 1) | 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 (16864 ÷ 8 = 2108) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 16864 a prime number?
No. 16864 = × 17 × 31, so it is divisible by 2.
What are the factors of 16864?
1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 68, 124, 136, 248, 272, 496, 527, 544, 992, 1054, 2108, 4216, 8432, 16864.
What is 16864 in binary?
100000111100000 (hexadecimal 41E0, octal 40740).
What is the square root of 16864?
About 129.8615, exactly 4√1054.
Is 16864 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16864?
It is a composite number with 24 divisors.