The number 26221
26221 is a composite number with 4 divisors. Its prime factorisation is 13 × 2017. Divisors (4): 1, 13, 2017, 26221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26221: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 2017, the product of two primes.
- 2
26221 is composite. Its prime factorisation is
- 3
The divisors add up to 28252; without 26221 itself that is 2031, so 26221 is deficient (2031 is less than 26221). Euler's totient φ(26221) = 24192 numbers up to 26221 share no factor with it.
- 4
The digits of 26221 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26221 = 13 \times 2017 \]
26221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28252 |
| Euler totient φ(n) | 24192 |
| Square | 687540841 |
| Cube | 18028008391861 |
| Square root | 161.928997 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.6221 × |
26221 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred and twenty-one |
| Binary (base 2) | 110011001101101 |
| Octal (base 8) | 63155 |
| Hexadecimal (base 16) | 666D |
| Base 3 | 1022222011 |
| As time | 26221 seconds = 7 h 17 min 1 s |
Is 26221 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26221 a prime number?
No. 26221 = 13 × 2017, so it is divisible by 13.
What are the factors of 26221?
1, 13, 2017, 26221.
What is 26221 in binary?
110011001101101 (hexadecimal 666D, octal 63155).
What is the square root of 26221?
About 161.9290.
Is 26221 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 26221?
26221 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 2017, the product of two primes.