The number 54012
54012 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 643. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572 … 54012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54012: a Harshad number: divisible by its digit sum 12.
- 2
54012 is composite. Its prime factorisation is
- 3
The divisors add up to 144256; without 54012 itself that is 90244, so 54012 is abundant (90244 is more than 54012). Euler's totient φ(54012) = 15408 numbers up to 54012 share no factor with it.
- 4
The digits of 54012 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54012 = 2^{2} \times 3 \times 7 \times 643 \]54012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144256 |
| Euler totient φ(n) | 15408 |
| Square | 2917296144 |
| Cube | 157568999329728 |
| Square root | 232.404819 (= 2√13503) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 176 |
| Scientific notation | 5.4012 × |
54012 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and twelve |
| Binary (base 2) | 1101001011111100 |
| Octal (base 8) | 151374 |
| Hexadecimal (base 16) | D2FC |
| Base 3 | 2202002110 |
| As time | 54012 seconds = 15 h 0 min 12 s |
Is 54012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54012 ÷ 2 = 27006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54012 ÷ 3 = 18004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54012 ÷ 4 = 13503) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (54012 ÷ 6 = 9002) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54012 ÷ 7 = 7716) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (54012 ÷ 12 = 4501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54012 a prime number?
No. 54012 = × 3 × 7 × 643, so it is divisible by 2.
What are the factors of 54012?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572, 3858, 4501, 7716, 9002, 13503, 18004, 27006, 54012.
What is 54012 in binary?
1101001011111100 (hexadecimal D2FC, octal 151374).
What is the square root of 54012?
About 232.4048, exactly 2√13503.
Is 54012 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 54012?
54012 is a Harshad number: divisible by its digit sum 12.