The number 26997
26997 is a composite number with 4 divisors. Its prime factorisation is 3 × 8999. Divisors (4): 1, 3, 8999, 26997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26997: a semiprime: 3 × 8999, the product of two primes.
- 2
26997 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 26997 itself that is 9003, so 26997 is deficient (9003 is less than 26997). Euler's totient φ(26997) = 17996 numbers up to 26997 share no factor with it.
- 4
The digits of 26997 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26997 = 3 \times 8999 \]
26997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 17996 |
| Square | 728838009 |
| Cube | 19676439728973 |
| Square root | 164.307638 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6997 × |
26997 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and ninety-seven |
| Binary (base 2) | 110100101110101 |
| Octal (base 8) | 64565 |
| Hexadecimal (base 16) | 6975 |
| Base 3 | 1101000220 |
| As time | 26997 seconds = 7 h 29 min 57 s |
Is 26997 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 (26997 ÷ 3 = 8999) | 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 2) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 26997 a prime number?
No. 26997 = 3 × 8999, so it is divisible by 3.
What are the factors of 26997?
1, 3, 8999, 26997.
What is 26997 in binary?
110100101110101 (hexadecimal 6975, octal 64565).
What is the square root of 26997?
About 164.3076.
Is 26997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 26997?
26997 is a semiprime: 3 × 8999, the product of two primes.