The number 26388
26388 is a composite number with 18 divisors. Its prime factorisation is × × 733. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 733, 1466, 2199, 2932, 4398, 6597, 8796 … 26388.
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How to work it out
- 1
26388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26388 is composite. Its prime factorisation is
- 3
The divisors add up to 66794; without 26388 itself that is 40406, so 26388 is abundant (40406 is more than 26388). Euler's totient φ(26388) = 8784 numbers up to 26388 share no factor with it.
- 4
The digits of 26388 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26388 = 2^{2} \times 3^{2} \times 733 \]26388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 66794 |
| Euler totient φ(n) | 8784 |
| Square | 696326544 |
| Cube | 18374664843072 |
| Square root | 162.443836 (= 6√733) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.6388 × |
26388 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand three hundred and eighty-eight |
| Binary (base 2) | 110011100010100 |
| Octal (base 8) | 63424 |
| Hexadecimal (base 16) | 6714 |
| Base 3 | 1100012100 |
| As time | 26388 seconds = 7 h 19 min 48 s |
Is 26388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26388 ÷ 2 = 13194) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26388 ÷ 3 = 8796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26388 ÷ 4 = 6597) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26388 ÷ 6 = 4398) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26388 ÷ 9 = 2932) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26388 ÷ 12 = 2199) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26388 a prime number?
No. 26388 = × × 733, so it is divisible by 2.
What are the factors of 26388?
1, 2, 3, 4, 6, 9, 12, 18, 36, 733, 1466, 2199, 2932, 4398, 6597, 8796, 13194, 26388.
What is 26388 in binary?
110011100010100 (hexadecimal 6714, octal 63424).
What is the square root of 26388?
About 162.4438, exactly 6√733.
Is 26388 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26388?
It is a composite number with 18 divisors.