The number 26521
26521 is a composite number with 4 divisors. Its prime factorisation is 11 × 2411. Divisors (4): 1, 11, 2411, 26521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26521: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2411, the product of two primes.
- 2
26521 is composite. Its prime factorisation is
- 3
The divisors add up to 28944; without 26521 itself that is 2423, so 26521 is deficient (2423 is less than 26521). Euler's totient φ(26521) = 24100 numbers up to 26521 share no factor with it.
- 4
The digits of 26521 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26521 = 11 \times 2411 \]
26521 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28944 |
| Euler totient φ(n) | 24100 |
| Square | 703363441 |
| Cube | 18653901818761 |
| Square root | 162.852694 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6521 × |
26521 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and twenty-one |
| Binary (base 2) | 110011110011001 |
| Octal (base 8) | 63631 |
| Hexadecimal (base 16) | 6799 |
| Base 3 | 1100101021 |
| As time | 26521 seconds = 7 h 22 min 1 s |
Is 26521 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 5) | 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 7) | 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 | Yes (26521 ÷ 11 = 2411) | 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 26521 a prime number?
No. 26521 = 11 × 2411, so it is divisible by 11.
What are the factors of 26521?
1, 11, 2411, 26521.
What is 26521 in binary?
110011110011001 (hexadecimal 6799, octal 63631).
What is the square root of 26521?
About 162.8527.
Is 26521 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26521?
26521 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2411, the product of two primes.