The number 53973
53973 is a composite number with 8 divisors. Its prime factorisation is × 1999. Divisors (8): 1, 3, 9, 27, 1999, 5997, 17991, 53973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53973: a Harshad number: divisible by its digit sum 27.
- 2
53973 is composite. Its prime factorisation is
- 3
The divisors add up to 80000; without 53973 itself that is 26027, so 53973 is deficient (26027 is less than 53973). Euler's totient φ(53973) = 35964 numbers up to 53973 share no factor with it.
- 4
The digits of 53973 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53973 = 3^{3} \times 1999 \]53973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80000 |
| Euler totient φ(n) | 35964 |
| Square | 2913084729 |
| Cube | 157227922078317 |
| Square root | 232.320899 (= 3√5997) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3973 × |
53973 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and seventy-three |
| Binary (base 2) | 1101001011010101 |
| Octal (base 8) | 151325 |
| Hexadecimal (base 16) | D2D5 |
| Base 3 | 2202001000 |
| As time | 53973 seconds = 14 h 59 min 33 s |
Is 53973 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 (53973 ÷ 3 = 17991) | 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 3) | 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 (53973 ÷ 9 = 5997) | 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 7) | 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 53973 a prime number?
No. 53973 = × 1999, so it is divisible by 3.
What are the factors of 53973?
1, 3, 9, 27, 1999, 5997, 17991, 53973.
What is 53973 in binary?
1101001011010101 (hexadecimal D2D5, octal 151325).
What is the square root of 53973?
About 232.3209, exactly 3√5997.
Is 53973 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53973?
53973 is a Harshad number: divisible by its digit sum 27.