The number 26973
26973 is a composite number with 14 divisors. Its prime factorisation is × 37. Divisors (14): 1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 2997, 8991, 26973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26973: a Harshad number: divisible by its digit sum 27.
- 2
26973 is composite. Its prime factorisation is
- 3
The divisors add up to 41534; without 26973 itself that is 14561, so 26973 is deficient (14561 is less than 26973). Euler's totient φ(26973) = 17496 numbers up to 26973 share no factor with it.
- 4
The digits of 26973 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26973 = 3^{6} \times 37 \]26973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 41534 |
| Euler totient φ(n) | 17496 |
| Square | 727542729 |
| Cube | 19624010029317 |
| Square root | 164.234588 (= 27√37) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6973 × |
26973 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand nine hundred and seventy-three |
| Binary (base 2) | 110100101011101 |
| Octal (base 8) | 64535 |
| Hexadecimal (base 16) | 695D |
| Base 3 | 1101000000 |
| As time | 26973 seconds = 7 h 29 min 33 s |
Is 26973 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 (26973 ÷ 3 = 8991) | 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 2) | 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 | Yes (26973 ÷ 9 = 2997) | 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 1) | 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 26973 a prime number?
No. 26973 = × 37, so it is divisible by 3.
What are the factors of 26973?
1, 3, 9, 27, 37, 81, 111, 243, 333, 729, 999, 2997, 8991, 26973.
What is 26973 in binary?
110100101011101 (hexadecimal 695D, octal 64535).
What is the square root of 26973?
About 164.2346, exactly 27√37.
Is 26973 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 26973?
26973 is a Harshad number: divisible by its digit sum 27.