The number 53940
53940 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 29 × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 31, 58, 60, 62 … 53940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53940 is composite. Its prime factorisation is
- 3
The divisors add up to 161280; without 53940 itself that is 107340, so 53940 is abundant (107340 is more than 53940). Euler's totient φ(53940) = 13440 numbers up to 53940 share no factor with it.
- 4
The digits of 53940 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53940 = 2^{2} \times 3 \times 5 \times 29 \times 31 \]53940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 161280 |
| Euler totient φ(n) | 13440 |
| Square | 2909523600 |
| Cube | 156939702984000 |
| Square root | 232.249865 (= 2√13485) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.394 × |
53940 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and forty |
| Binary (base 2) | 1101001010110100 |
| Octal (base 8) | 151264 |
| Hexadecimal (base 16) | D2B4 |
| Base 3 | 2201222210 |
| As time | 53940 seconds = 14 h 59 min 0 s |
Is 53940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53940 ÷ 2 = 26970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53940 ÷ 3 = 17980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53940 ÷ 4 = 13485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53940 ÷ 5 = 10788) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53940 ÷ 6 = 8990) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53940 ÷ 10 = 5394) | 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 | Yes (53940 ÷ 12 = 4495) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53940 a prime number?
No. 53940 = × 3 × 5 × 29 × 31, so it is divisible by 2.
What are the factors of 53940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 31, 58, 60, 62, 87, 93, 116, 124, 145, 155, 174, 186, 290, 310, 348, 372, 435, 465, 580, 620, 870, 899, 930, 1740, 1798, 1860, 2697, 3596, 4495, 5394, 8990, 10788, 13485, 17980, 26970, 53940.
What is 53940 in binary?
1101001010110100 (hexadecimal D2B4, octal 151264).
What is the square root of 53940?
About 232.2499, exactly 2√13485.
Is 53940 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53940?
It is a composite number with 48 divisors.