The number 54540
54540 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 101. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 54540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54540: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
54540 is composite. Its prime factorisation is
- 3
The divisors add up to 171360; without 54540 itself that is 116820, so 54540 is abundant (116820 is more than 54540). Euler's totient φ(54540) = 14400 numbers up to 54540 share no factor with it.
- 4
The digits of 54540 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54540 = 2^{2} \times 3^{3} \times 5 \times 101 \]54540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 171360 |
| Euler totient φ(n) | 14400 |
| Square | 2974611600 |
| Cube | 162235316664000 |
| Square root | 233.538005 (= 6√1515) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.454 × |
54540 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand five hundred and forty |
| Binary (base 2) | 1101010100001100 |
| Octal (base 8) | 152414 |
| Hexadecimal (base 16) | D50C |
| Base 3 | 2202211000 |
| As time | 54540 seconds = 15 h 9 min 0 s |
Is 54540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54540 ÷ 2 = 27270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54540 ÷ 3 = 18180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54540 ÷ 4 = 13635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54540 ÷ 5 = 10908) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54540 ÷ 6 = 9090) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54540 ÷ 9 = 6060) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54540 ÷ 10 = 5454) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54540 ÷ 12 = 4545) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54540 a prime number?
No. 54540 = × × 5 × 101, so it is divisible by 2.
What are the factors of 54540?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 101, 108, 135, 180, 202, 270, 303, 404, 505, 540, 606, 909, 1010, 1212, 1515, 1818, 2020, 2727, 3030, 3636, 4545, 5454, 6060, 9090, 10908, 13635, 18180, 27270, 54540.
What is 54540 in binary?
1101010100001100 (hexadecimal D50C, octal 152414).
What is the square root of 54540?
About 233.5380, exactly 6√1515.
Is 54540 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54540?
54540 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.