The number 5373
5373 is a composite number with 8 divisors. Its prime factorisation is × 199. Divisors (8): 1, 3, 9, 27, 199, 597, 1791, 5373.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5373 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5373 is composite. Its prime factorisation is
- 3
The divisors add up to 8000; without 5373 itself that is 2627, so 5373 is deficient (2627 is less than 5373). Euler's totient φ(5373) = 3564 numbers up to 5373 share no factor with it.
- 4
The digits of 5373 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5373 = 3^{3} \times 199 \]5373 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8000 |
| Euler totient φ(n) | 3564 |
| Square | 28869129 |
| Cube | 155113830117 |
| Square root | 73.300750 (= 3√597) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.373 × |
5373 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and seventy-three |
| Binary (base 2) | 1010011111101 |
| Octal (base 8) | 12375 |
| Hexadecimal (base 16) | 14FD |
| Base 3 | 21101000 |
| As time | 5373 seconds = 1 h 29 min 33 s |
Is 5373 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 (5373 ÷ 3 = 1791) | 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 4) | 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 (5373 ÷ 9 = 597) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5373 a prime number?
No. 5373 = × 199, so it is divisible by 3.
What are the factors of 5373?
1, 3, 9, 27, 199, 597, 1791, 5373.
What is 5373 in binary?
1010011111101 (hexadecimal 14FD, octal 12375).
What is the square root of 5373?
About 73.3008, exactly 3√597.
Is 5373 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5373?
It is a composite number with 8 divisors.