The number 26440
26440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 661. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 661, 1322, 2644, 3305, 5288, 6610, 13220, 26440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26440 is composite. Its prime factorisation is
- 3
The divisors add up to 59580; without 26440 itself that is 33140, so 26440 is abundant (33140 is more than 26440). Euler's totient φ(26440) = 10560 numbers up to 26440 share no factor with it.
- 4
The digits of 26440 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26440 = 2^{3} \times 5 \times 661 \]26440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 59580 |
| Euler totient φ(n) | 10560 |
| Square | 699073600 |
| Cube | 18483505984000 |
| Square root | 162.603813 (= 2√6610) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.644 × |
26440 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and forty |
| Binary (base 2) | 110011101001000 |
| Octal (base 8) | 63510 |
| Hexadecimal (base 16) | 6748 |
| Base 3 | 1100021021 |
| As time | 26440 seconds = 7 h 20 min 40 s |
Is 26440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26440 ÷ 2 = 13220) | 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 (26440 ÷ 4 = 6610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26440 ÷ 5 = 5288) | 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 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 (26440 ÷ 8 = 3305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26440 ÷ 10 = 2644) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 26440 a prime number?
No. 26440 = × 5 × 661, so it is divisible by 2.
What are the factors of 26440?
1, 2, 4, 5, 8, 10, 20, 40, 661, 1322, 2644, 3305, 5288, 6610, 13220, 26440.
What is 26440 in binary?
110011101001000 (hexadecimal 6748, octal 63510).
What is the square root of 26440?
About 162.6038, exactly 2√6610.
Is 26440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26440?
It is a composite number with 16 divisors.