The number 54138
54138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1289. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1289, 2578, 3867, 7734, 9023, 18046, 27069, 54138.
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How to work it out
- 1
What is special about 54138: a Harshad number: divisible by its digit sum 21.
- 2
54138 is composite. Its prime factorisation is
- 3
The divisors add up to 123840; without 54138 itself that is 69702, so 54138 is abundant (69702 is more than 54138). Euler's totient φ(54138) = 15456 numbers up to 54138 share no factor with it.
- 4
The digits of 54138 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54138 = 2 \times 3 \times 7 \times 1289 \]
54138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123840 |
| Euler totient φ(n) | 15456 |
| Square | 2930923044 |
| Cube | 158674311756072 |
| Square root | 232.675740 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4138 × |
54138 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and thirty-eight |
| Binary (base 2) | 1101001101111010 |
| Octal (base 8) | 151572 |
| Hexadecimal (base 16) | D37A |
| Base 3 | 2202021010 |
| As time | 54138 seconds = 15 h 2 min 18 s |
Is 54138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54138 ÷ 2 = 27069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54138 ÷ 3 = 18046) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54138 ÷ 6 = 9023) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54138 ÷ 7 = 7734) | 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 2) | 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 | No (remainder 8) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54138 a prime number?
No. 54138 = 2 × 3 × 7 × 1289, so it is divisible by 2.
What are the factors of 54138?
1, 2, 3, 6, 7, 14, 21, 42, 1289, 2578, 3867, 7734, 9023, 18046, 27069, 54138.
What is 54138 in binary?
1101001101111010 (hexadecimal D37A, octal 151572).
What is the square root of 54138?
About 232.6757.
Is 54138 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54138?
54138 is a Harshad number: divisible by its digit sum 21.