The number 26500
26500 is a composite number with 24 divisors. Its prime factorisation is × × 53. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500 … 26500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26500 is composite. Its prime factorisation is
- 3
The divisors add up to 58968; without 26500 itself that is 32468, so 26500 is abundant (32468 is more than 26500). Euler's totient φ(26500) = 10400 numbers up to 26500 share no factor with it.
- 4
The digits of 26500 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26500 = 2^{2} \times 5^{3} \times 53 \]26500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58968 |
| Euler totient φ(n) | 10400 |
| Square | 702250000 |
| Cube | 18609625000000 |
| Square root | 162.788206 (= 10√265) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.65 × |
26500 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred |
| Binary (base 2) | 110011110000100 |
| Octal (base 8) | 63604 |
| Hexadecimal (base 16) | 6784 |
| Base 3 | 1100100111 |
| As time | 26500 seconds = 7 h 21 min 40 s |
Is 26500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26500 ÷ 2 = 13250) | 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 (26500 ÷ 4 = 6625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26500 ÷ 5 = 5300) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26500 ÷ 10 = 2650) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 26500 a prime number?
No. 26500 = × × 53, so it is divisible by 2.
What are the factors of 26500?
1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 125, 212, 250, 265, 500, 530, 1060, 1325, 2650, 5300, 6625, 13250, 26500.
What is 26500 in binary?
110011110000100 (hexadecimal 6784, octal 63604).
What is the square root of 26500?
About 162.7882, exactly 10√265.
Is 26500 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26500?
It is a composite number with 24 divisors.