The number 54390
54390 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × × 37. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 49, 70 … 54390.
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How to work it out
- 1
What is special about 54390: a Harshad number: divisible by its digit sum 21.
- 2
54390 is composite. Its prime factorisation is
- 3
The divisors add up to 155952; without 54390 itself that is 101562, so 54390 is abundant (101562 is more than 54390). Euler's totient φ(54390) = 12096 numbers up to 54390 share no factor with it.
- 4
The digits of 54390 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54390 = 2 \times 3 \times 5 \times 7^{2} \times 37 \]54390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 155952 |
| Euler totient φ(n) | 12096 |
| Square | 2958272100 |
| Cube | 160900419519000 |
| Square root | 233.216637 (= 7√1110) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.439 × |
54390 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand three hundred and ninety |
| Binary (base 2) | 1101010001110110 |
| Octal (base 8) | 152166 |
| Hexadecimal (base 16) | D476 |
| Base 3 | 2202121110 |
| As time | 54390 seconds = 15 h 6 min 30 s |
Is 54390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54390 ÷ 2 = 27195) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54390 ÷ 3 = 18130) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (54390 ÷ 5 = 10878) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54390 ÷ 6 = 9065) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54390 ÷ 7 = 7770) | 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 6) | 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 (54390 ÷ 10 = 5439) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54390 a prime number?
No. 54390 = 2 × 3 × 5 × × 37, so it is divisible by 2.
What are the factors of 54390?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 49, 70, 74, 98, 105, 111, 147, 185, 210, 222, 245, 259, 294, 370, 490, 518, 555, 735, 777, 1110, 1295, 1470, 1554, 1813, 2590, 3626, 3885, 5439, 7770, 9065, 10878, 18130, 27195, 54390.
What is 54390 in binary?
1101010001110110 (hexadecimal D476, octal 152166).
What is the square root of 54390?
About 233.2166, exactly 7√1110.
Is 54390 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54390?
54390 is a Harshad number: divisible by its digit sum 21.