The number 16973
16973 is a composite number with 4 divisors. Its prime factorisation is 11 × 1543. Divisors (4): 1, 11, 1543, 16973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16973: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1543, the product of two primes.
- 2
16973 is composite. Its prime factorisation is
- 3
The divisors add up to 18528; without 16973 itself that is 1555, so 16973 is deficient (1555 is less than 16973). Euler's totient φ(16973) = 15420 numbers up to 16973 share no factor with it.
- 4
The digits of 16973 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16973 = 11 \times 1543 \]
16973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18528 |
| Euler totient φ(n) | 15420 |
| Square | 288082729 |
| Cube | 4889628159317 |
| Square root | 130.280467 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6973 × |
16973 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and seventy-three |
| Binary (base 2) | 100001001001101 |
| Octal (base 8) | 41115 |
| Hexadecimal (base 16) | 424D |
| Base 3 | 212021122 |
| As time | 16973 seconds = 4 h 42 min 53 s |
Is 16973 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 2) | 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 5) | 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 8) | 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 (16973 ÷ 11 = 1543) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16973 a prime number?
No. 16973 = 11 × 1543, so it is divisible by 11.
What are the factors of 16973?
1, 11, 1543, 16973.
What is 16973 in binary?
100001001001101 (hexadecimal 424D, octal 41115).
What is the square root of 16973?
About 130.2805.
Is 16973 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16973?
16973 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1543, the product of two primes.