The number 26736
26736 is a composite number with 20 divisors. Its prime factorisation is × 3 × 557. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 557, 1114, 1671, 2228, 3342, 4456 … 26736.
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How to work it out
- 1
What is special about 26736: a Harshad number: divisible by its digit sum 24.
- 2
26736 is composite. Its prime factorisation is
- 3
The divisors add up to 69192; without 26736 itself that is 42456, so 26736 is abundant (42456 is more than 26736). Euler's totient φ(26736) = 8896 numbers up to 26736 share no factor with it.
- 4
The digits of 26736 add up to 24, 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
\[ 26736 = 2^{4} \times 3 \times 557 \]26736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 69192 |
| Euler totient φ(n) | 8896 |
| Square | 714813696 |
| Cube | 19111258976256 |
| Square root | 163.511467 (= 4√1671) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6736 × |
26736 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and thirty-six |
| Binary (base 2) | 110100001110000 |
| Octal (base 8) | 64160 |
| Hexadecimal (base 16) | 6870 |
| Base 3 | 1100200020 |
| As time | 26736 seconds = 7 h 25 min 36 s |
Is 26736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26736 ÷ 2 = 13368) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26736 ÷ 3 = 8912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26736 ÷ 4 = 6684) | 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 (26736 ÷ 6 = 4456) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (26736 ÷ 8 = 3342) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26736 ÷ 12 = 2228) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26736 a prime number?
No. 26736 = × 3 × 557, so it is divisible by 2.
What are the factors of 26736?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 557, 1114, 1671, 2228, 3342, 4456, 6684, 8912, 13368, 26736.
What is 26736 in binary?
110100001110000 (hexadecimal 6870, octal 64160).
What is the square root of 26736?
About 163.5115, exactly 4√1671.
Is 26736 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26736?
26736 is a Harshad number: divisible by its digit sum 24.