The number 16373
16373 is a composite number with 4 divisors. Its prime factorisation is 7 × 2339. Divisors (4): 1, 7, 2339, 16373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16373: a semiprime: 7 × 2339, the product of two primes.
- 2
16373 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 16373 itself that is 2347, so 16373 is deficient (2347 is less than 16373). Euler's totient φ(16373) = 14028 numbers up to 16373 share no factor with it.
- 4
The digits of 16373 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16373 = 7 \times 2339 \]
16373 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 14028 |
| Square | 268075129 |
| Cube | 4389194087117 |
| Square root | 127.957024 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6373 × |
16373 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventy-three |
| Binary (base 2) | 11111111110101 |
| Octal (base 8) | 37765 |
| Hexadecimal (base 16) | 3FF5 |
| Base 3 | 211110102 |
| As time | 16373 seconds = 4 h 32 min 53 s |
Is 16373 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 | Yes (16373 ÷ 7 = 2339) | 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 2) | 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 5) | 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 16373 a prime number?
No. 16373 = 7 × 2339, so it is divisible by 7.
What are the factors of 16373?
1, 7, 2339, 16373.
What is 16373 in binary?
11111111110101 (hexadecimal 3FF5, octal 37765).
What is the square root of 16373?
About 127.9570.
Is 16373 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16373?
16373 is a semiprime: 7 × 2339, the product of two primes.