The number 26488
26488 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 43. Divisors (32): 1, 2, 4, 7, 8, 11, 14, 22, 28, 43, 44, 56, 77, 86, 88, 154 … 26488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26488: a Harshad number: divisible by its digit sum 28.
- 2
26488 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 26488 itself that is 36872, so 26488 is abundant (36872 is more than 26488). Euler's totient φ(26488) = 10080 numbers up to 26488 share no factor with it.
- 4
The digits of 26488 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26488 = 2^{3} \times 7 \times 11 \times 43 \]26488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 10080 |
| Square | 701614144 |
| Cube | 18584355446272 |
| Square root | 162.751344 (= 2√6622) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.6488 × |
26488 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and eighty-eight |
| Binary (base 2) | 110011101111000 |
| Octal (base 8) | 63570 |
| Hexadecimal (base 16) | 6778 |
| Base 3 | 1100100001 |
| As time | 26488 seconds = 7 h 21 min 28 s |
Is 26488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26488 ÷ 2 = 13244) | 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 (26488 ÷ 4 = 6622) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26488 ÷ 7 = 3784) | 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 (26488 ÷ 8 = 3311) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (26488 ÷ 11 = 2408) | 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 26488 a prime number?
No. 26488 = × 7 × 11 × 43, so it is divisible by 2.
What are the factors of 26488?
1, 2, 4, 7, 8, 11, 14, 22, 28, 43, 44, 56, 77, 86, 88, 154, 172, 301, 308, 344, 473, 602, 616, 946, 1204, 1892, 2408, 3311, 3784, 6622, 13244, 26488.
What is 26488 in binary?
110011101111000 (hexadecimal 6778, octal 63570).
What is the square root of 26488?
About 162.7513, exactly 2√6622.
Is 26488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 26488?
26488 is a Harshad number: divisible by its digit sum 28.