The number 26013
26013 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 23 × 29. Divisors (16): 1, 3, 13, 23, 29, 39, 69, 87, 299, 377, 667, 897, 1131, 2001, 8671, 26013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26013 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 26013 itself that is 14307, so 26013 is deficient (14307 is less than 26013). Euler's totient φ(26013) = 14784 numbers up to 26013 share no factor with it.
- 4
The digits of 26013 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26013 = 3 \times 13 \times 23 \times 29 \]
26013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 14784 |
| Square | 676676169 |
| Cube | 17602377184197 |
| Square root | 161.285461 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.6013 × |
26013 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and thirteen |
| Binary (base 2) | 110010110011101 |
| Octal (base 8) | 62635 |
| Hexadecimal (base 16) | 659D |
| Base 3 | 1022200110 |
| As time | 26013 seconds = 7 h 13 min 33 s |
Is 26013 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 | Yes (26013 ÷ 3 = 8671) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26013 a prime number?
No. 26013 = 3 × 13 × 23 × 29, so it is divisible by 3.
What are the factors of 26013?
1, 3, 13, 23, 29, 39, 69, 87, 299, 377, 667, 897, 1131, 2001, 8671, 26013.
What is 26013 in binary?
110010110011101 (hexadecimal 659D, octal 62635).
What is the square root of 26013?
About 161.2855.
Is 26013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 26013?
It is a composite number with 16 divisors.