The number 26201
26201 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 197. Divisors (8): 1, 7, 19, 133, 197, 1379, 3743, 26201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26201 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26201 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 26201 itself that is 5479, so 26201 is deficient (5479 is less than 26201). Euler's totient φ(26201) = 21168 numbers up to 26201 share no factor with it.
- 4
The digits of 26201 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26201 = 7 \times 19 \times 197 \]
26201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 21168 |
| Square | 686492401 |
| Cube | 17986787398601 |
| Square root | 161.867230 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.6201 × |
26201 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred and one |
| Binary (base 2) | 110011001011001 |
| Octal (base 8) | 63131 |
| Hexadecimal (base 16) | 6659 |
| Base 3 | 1022221102 |
| As time | 26201 seconds = 7 h 16 min 41 s |
Is 26201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26201 ÷ 7 = 3743) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26201 a prime number?
No. 26201 = 7 × 19 × 197, so it is divisible by 7.
What are the factors of 26201?
1, 7, 19, 133, 197, 1379, 3743, 26201.
What is 26201 in binary?
110011001011001 (hexadecimal 6659, octal 63131).
What is the square root of 26201?
About 161.8672.
Is 26201 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 26201?
It is a composite number with 8 divisors.