The number 53992
53992 is a composite number with 16 divisors. Its prime factorisation is × 17 × 397. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 397, 794, 1588, 3176, 6749, 13498, 26996, 53992.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53992 is composite. Its prime factorisation is
- 3
The divisors add up to 107460; without 53992 itself that is 53468, so 53992 is deficient (53468 is less than 53992). Euler's totient φ(53992) = 25344 numbers up to 53992 share no factor with it.
- 4
The digits of 53992 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53992 = 2^{3} \times 17 \times 397 \]53992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107460 |
| Euler totient φ(n) | 25344 |
| Square | 2915136064 |
| Cube | 157394026367488 |
| Square root | 232.361787 (= 2√13498) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3992 × |
53992 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and ninety-two |
| Binary (base 2) | 1101001011101000 |
| Octal (base 8) | 151350 |
| Hexadecimal (base 16) | D2E8 |
| Base 3 | 2202001201 |
| As time | 53992 seconds = 14 h 59 min 52 s |
Is 53992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53992 ÷ 2 = 26996) | 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 | Yes (53992 ÷ 4 = 13498) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (53992 ÷ 8 = 6749) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53992 a prime number?
No. 53992 = × 17 × 397, so it is divisible by 2.
What are the factors of 53992?
1, 2, 4, 8, 17, 34, 68, 136, 397, 794, 1588, 3176, 6749, 13498, 26996, 53992.
What is 53992 in binary?
1101001011101000 (hexadecimal D2E8, octal 151350).
What is the square root of 53992?
About 232.3618, exactly 2√13498.
Is 53992 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 53992?
It is a composite number with 16 divisors.