The number 26016
26016 is a composite number with 24 divisors. Its prime factorisation is × 3 × 271. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 271, 542, 813, 1084 … 26016.
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How to work it out
- 1
26016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26016 is composite. Its prime factorisation is
- 3
The divisors add up to 68544; without 26016 itself that is 42528, so 26016 is abundant (42528 is more than 26016). Euler's totient φ(26016) = 8640 numbers up to 26016 share no factor with it.
- 4
The digits of 26016 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26016 = 2^{5} \times 3 \times 271 \]26016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68544 |
| Euler totient φ(n) | 8640 |
| Square | 676832256 |
| Cube | 17608467972096 |
| Square root | 161.294761 (= 4√1626) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6016 × |
26016 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and sixteen |
| Binary (base 2) | 110010110100000 |
| Octal (base 8) | 62640 |
| Hexadecimal (base 16) | 65A0 |
| Base 3 | 1022200120 |
| As time | 26016 seconds = 7 h 13 min 36 s |
Is 26016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26016 ÷ 2 = 13008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26016 ÷ 3 = 8672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26016 ÷ 4 = 6504) | 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 (26016 ÷ 6 = 4336) | 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 (26016 ÷ 8 = 3252) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 (26016 ÷ 12 = 2168) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26016 a prime number?
No. 26016 = × 3 × 271, so it is divisible by 2.
What are the factors of 26016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 271, 542, 813, 1084, 1626, 2168, 3252, 4336, 6504, 8672, 13008, 26016.
What is 26016 in binary?
110010110100000 (hexadecimal 65A0, octal 62640).
What is the square root of 26016?
About 161.2948, exactly 4√1626.
Is 26016 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 26016?
It is a composite number with 24 divisors.