The number 26466
26466 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 401. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 401, 802, 1203, 2406, 4411, 8822, 13233, 26466.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26466 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26466 is composite. Its prime factorisation is
- 3
The divisors add up to 57888; without 26466 itself that is 31422, so 26466 is abundant (31422 is more than 26466). Euler's totient φ(26466) = 8000 numbers up to 26466 share no factor with it.
- 4
The digits of 26466 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
\[ 26466 = 2 \times 3 \times 11 \times 401 \]
26466 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57888 |
| Euler totient φ(n) | 8000 |
| Square | 700449156 |
| Cube | 18538087362696 |
| Square root | 162.683742 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6466 × |
26466 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and sixty-six |
| Binary (base 2) | 110011101100010 |
| Octal (base 8) | 63542 |
| Hexadecimal (base 16) | 6762 |
| Base 3 | 1100022020 |
| As time | 26466 seconds = 7 h 21 min 6 s |
Is 26466 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26466 ÷ 2 = 13233) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26466 ÷ 3 = 8822) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (26466 ÷ 6 = 4411) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | Yes (26466 ÷ 11 = 2406) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26466 a prime number?
No. 26466 = 2 × 3 × 11 × 401, so it is divisible by 2.
What are the factors of 26466?
1, 2, 3, 6, 11, 22, 33, 66, 401, 802, 1203, 2406, 4411, 8822, 13233, 26466.
What is 26466 in binary?
110011101100010 (hexadecimal 6762, octal 63542).
What is the square root of 26466?
About 162.6837.
Is 26466 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26466?
It is a composite number with 16 divisors.