The number 26164
26164 is a composite number with 12 divisors. Its prime factorisation is × 31 × 211. Divisors (12): 1, 2, 4, 31, 62, 124, 211, 422, 844, 6541, 13082, 26164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26164 is composite. Its prime factorisation is
- 3
The divisors add up to 47488; without 26164 itself that is 21324, so 26164 is deficient (21324 is less than 26164). Euler's totient φ(26164) = 12600 numbers up to 26164 share no factor with it.
- 4
The digits of 26164 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26164 = 2^{2} \times 31 \times 211 \]26164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47488 |
| Euler totient φ(n) | 12600 |
| Square | 684554896 |
| Cube | 17910694298944 |
| Square root | 161.752898 (= 2√6541) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6164 × |
26164 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand one hundred and sixty-four |
| Binary (base 2) | 110011000110100 |
| Octal (base 8) | 63064 |
| Hexadecimal (base 16) | 6634 |
| Base 3 | 1022220001 |
| As time | 26164 seconds = 7 h 16 min 4 s |
Is 26164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26164 ÷ 2 = 13082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26164 ÷ 4 = 6541) | 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 | No (remainder 4) | 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 | No (remainder 1) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26164 a prime number?
No. 26164 = × 31 × 211, so it is divisible by 2.
What are the factors of 26164?
1, 2, 4, 31, 62, 124, 211, 422, 844, 6541, 13082, 26164.
What is 26164 in binary?
110011000110100 (hexadecimal 6634, octal 63064).
What is the square root of 26164?
About 161.7529, exactly 2√6541.
Is 26164 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 26164?
It is a composite number with 12 divisors.