The number 27973
27973 is a composite number with 4 divisors. Its prime factorisation is 11 × 2543. Divisors (4): 1, 11, 2543, 27973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27973: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2543, the product of two primes.
- 2
27973 is composite. Its prime factorisation is
- 3
The divisors add up to 30528; without 27973 itself that is 2555, so 27973 is deficient (2555 is less than 27973). Euler's totient φ(27973) = 25420 numbers up to 27973 share no factor with it.
- 4
The digits of 27973 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27973 = 11 \times 2543 \]
27973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 30528 |
| Euler totient φ(n) | 25420 |
| Square | 782488729 |
| Cube | 21888557216317 |
| Square root | 167.251308 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7973 × |
27973 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and seventy-three |
| Binary (base 2) | 110110101000101 |
| Octal (base 8) | 66505 |
| Hexadecimal (base 16) | 6D45 |
| Base 3 | 1102101001 |
| As time | 27973 seconds = 7 h 46 min 13 s |
Is 27973 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 3) | 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 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 1) | 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 | Yes (27973 ÷ 11 = 2543) | 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 27973 a prime number?
No. 27973 = 11 × 2543, so it is divisible by 11.
What are the factors of 27973?
1, 11, 2543, 27973.
What is 27973 in binary?
110110101000101 (hexadecimal 6D45, octal 66505).
What is the square root of 27973?
About 167.2513.
Is 27973 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27973?
27973 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2543, the product of two primes.