The number 26642
26642 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 173. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 173, 346, 1211, 1903, 2422, 3806, 13321, 26642.
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How to work it out
- 1
26642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26642 is composite. Its prime factorisation is
- 3
The divisors add up to 50112; without 26642 itself that is 23470, so 26642 is deficient (23470 is less than 26642). Euler's totient φ(26642) = 10320 numbers up to 26642 share no factor with it.
- 4
The digits of 26642 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26642 = 2 \times 7 \times 11 \times 173 \]
26642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 50112 |
| Euler totient φ(n) | 10320 |
| Square | 709796164 |
| Cube | 18910389401288 |
| Square root | 163.223773 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.6642 × |
26642 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and forty-two |
| Binary (base 2) | 110100000010010 |
| Octal (base 8) | 64022 |
| Hexadecimal (base 16) | 6812 |
| Base 3 | 1100112202 |
| As time | 26642 seconds = 7 h 24 min 2 s |
Is 26642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26642 ÷ 2 = 13321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26642 ÷ 7 = 3806) | 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 | No (remainder 2) | 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 | Yes (26642 ÷ 11 = 2422) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26642 a prime number?
No. 26642 = 2 × 7 × 11 × 173, so it is divisible by 2.
What are the factors of 26642?
1, 2, 7, 11, 14, 22, 77, 154, 173, 346, 1211, 1903, 2422, 3806, 13321, 26642.
What is 26642 in binary?
110100000010010 (hexadecimal 6812, octal 64022).
What is the square root of 26642?
About 163.2238.
Is 26642 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26642?
It is a composite number with 16 divisors.