The number 26664
26664 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 101. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 101, 132 … 26664.
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How to work it out
- 1
What is special about 26664: a Harshad number: divisible by its digit sum 24.
- 2
26664 is composite. Its prime factorisation is
- 3
The divisors add up to 73440; without 26664 itself that is 46776, so 26664 is abundant (46776 is more than 26664). Euler's totient φ(26664) = 8000 numbers up to 26664 share no factor with it.
- 4
The digits of 26664 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 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26664 = 2^{3} \times 3 \times 11 \times 101 \]26664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73440 |
| Euler totient φ(n) | 8000 |
| Square | 710968896 |
| Cube | 18957274642944 |
| Square root | 163.291151 (= 2√6666) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.6664 × |
26664 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and sixty-four |
| Binary (base 2) | 110100000101000 |
| Octal (base 8) | 64050 |
| Hexadecimal (base 16) | 6828 |
| Base 3 | 1100120120 |
| As time | 26664 seconds = 7 h 24 min 24 s |
Is 26664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26664 ÷ 2 = 13332) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26664 ÷ 3 = 8888) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26664 ÷ 4 = 6666) | 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 | Yes (26664 ÷ 6 = 4444) | 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 (26664 ÷ 8 = 3333) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26664 ÷ 11 = 2424) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26664 ÷ 12 = 2222) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26664 a prime number?
No. 26664 = × 3 × 11 × 101, so it is divisible by 2.
What are the factors of 26664?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 101, 132, 202, 264, 303, 404, 606, 808, 1111, 1212, 2222, 2424, 3333, 4444, 6666, 8888, 13332, 26664.
What is 26664 in binary?
110100000101000 (hexadecimal 6828, octal 64050).
What is the square root of 26664?
About 163.2912, exactly 2√6666.
Is 26664 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26664?
26664 is a Harshad number: divisible by its digit sum 24.