The number 54940
54940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 67. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 67, 82, 134, 164, 205, 268, 335, 410, 670 … 54940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54940 is composite. Its prime factorisation is
- 3
The divisors add up to 119952; without 54940 itself that is 65012, so 54940 is abundant (65012 is more than 54940). Euler's totient φ(54940) = 21120 numbers up to 54940 share no factor with it.
- 4
The digits of 54940 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54940 = 2^{2} \times 5 \times 41 \times 67 \]54940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119952 |
| Euler totient φ(n) | 21120 |
| Square | 3018403600 |
| Cube | 165831093784000 |
| Square root | 234.392833 (= 2√13735) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.494 × |
54940 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and forty |
| Binary (base 2) | 1101011010011100 |
| Octal (base 8) | 153234 |
| Hexadecimal (base 16) | D69C |
| Base 3 | 2210100211 |
| As time | 54940 seconds = 15 h 15 min 40 s |
Is 54940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54940 ÷ 2 = 27470) | 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 (54940 ÷ 4 = 13735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54940 ÷ 5 = 10988) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54940 ÷ 10 = 5494) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 54940 a prime number?
No. 54940 = × 5 × 41 × 67, so it is divisible by 2.
What are the factors of 54940?
1, 2, 4, 5, 10, 20, 41, 67, 82, 134, 164, 205, 268, 335, 410, 670, 820, 1340, 2747, 5494, 10988, 13735, 27470, 54940.
What is 54940 in binary?
1101011010011100 (hexadecimal D69C, octal 153234).
What is the square root of 54940?
About 234.3928, exactly 2√13735.
Is 54940 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 54940?
It is a composite number with 24 divisors.