The number 26442
26442 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 113. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 113, 117, 226, 234, 339, 678 … 26442.
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How to work it out
- 1
What is special about 26442: a Harshad number: divisible by its digit sum 18.
- 2
26442 is composite. Its prime factorisation is
- 3
The divisors add up to 62244; without 26442 itself that is 35802, so 26442 is abundant (35802 is more than 26442). Euler's totient φ(26442) = 8064 numbers up to 26442 share no factor with it.
- 4
The digits of 26442 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26442 = 2 \times 3^{2} \times 13 \times 113 \]26442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62244 |
| Euler totient φ(n) | 8064 |
| Square | 699179364 |
| Cube | 18487700742888 |
| Square root | 162.609963 (= 3√2938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.6442 × |
26442 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and forty-two |
| Binary (base 2) | 110011101001010 |
| Octal (base 8) | 63512 |
| Hexadecimal (base 16) | 674A |
| Base 3 | 1100021100 |
| As time | 26442 seconds = 7 h 20 min 42 s |
Is 26442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26442 ÷ 2 = 13221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26442 ÷ 3 = 8814) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26442 ÷ 6 = 4407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (26442 ÷ 9 = 2938) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 26442 a prime number?
No. 26442 = 2 × × 13 × 113, so it is divisible by 2.
What are the factors of 26442?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 113, 117, 226, 234, 339, 678, 1017, 1469, 2034, 2938, 4407, 8814, 13221, 26442.
What is 26442 in binary?
110011101001010 (hexadecimal 674A, octal 63512).
What is the square root of 26442?
About 162.6100, exactly 3√2938.
Is 26442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26442?
26442 is a Harshad number: divisible by its digit sum 18.