The number 54060
54060 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 17 × 53. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 53, 60 … 54060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54060: a Harshad number: divisible by its digit sum 15.
- 2
54060 is composite. Its prime factorisation is
- 3
The divisors add up to 163296; without 54060 itself that is 109236, so 54060 is abundant (109236 is more than 54060). Euler's totient φ(54060) = 13312 numbers up to 54060 share no factor with it.
- 4
The digits of 54060 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54060 = 2^{2} \times 3 \times 5 \times 17 \times 53 \]54060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163296 |
| Euler totient φ(n) | 13312 |
| Square | 2922483600 |
| Cube | 157989463416000 |
| Square root | 232.508064 (= 2√13515) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.406 × |
54060 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and sixty |
| Binary (base 2) | 1101001100101100 |
| Octal (base 8) | 151454 |
| Hexadecimal (base 16) | D32C |
| Base 3 | 2202011020 |
| As time | 54060 seconds = 15 h 1 min 0 s |
Is 54060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54060 ÷ 2 = 27030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54060 ÷ 3 = 18020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54060 ÷ 4 = 13515) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54060 ÷ 5 = 10812) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54060 ÷ 6 = 9010) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (54060 ÷ 10 = 5406) | 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 | Yes (54060 ÷ 12 = 4505) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54060 a prime number?
No. 54060 = × 3 × 5 × 17 × 53, so it is divisible by 2.
What are the factors of 54060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 53, 60, 68, 85, 102, 106, 159, 170, 204, 212, 255, 265, 318, 340, 510, 530, 636, 795, 901, 1020, 1060, 1590, 1802, 2703, 3180, 3604, 4505, 5406, 9010, 10812, 13515, 18020, 27030, 54060.
What is 54060 in binary?
1101001100101100 (hexadecimal D32C, octal 151454).
What is the square root of 54060?
About 232.5081, exactly 2√13515.
Is 54060 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 54060?
54060 is a Harshad number: divisible by its digit sum 15.