The number 54072
54072 is a composite number with 24 divisors. Its prime factorisation is × × 751. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 751, 1502, 2253, 3004 … 54072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54072: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
54072 is composite. Its prime factorisation is
- 3
The divisors add up to 146640; without 54072 itself that is 92568, so 54072 is abundant (92568 is more than 54072). Euler's totient φ(54072) = 18000 numbers up to 54072 share no factor with it.
- 4
The digits of 54072 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54072 = 2^{3} \times 3^{2} \times 751 \]54072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 146640 |
| Euler totient φ(n) | 18000 |
| Square | 2923781184 |
| Cube | 158094696181248 |
| Square root | 232.533869 (= 6√1502) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.4072 × |
54072 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and seventy-two |
| Binary (base 2) | 1101001100111000 |
| Octal (base 8) | 151470 |
| Hexadecimal (base 16) | D338 |
| Base 3 | 2202011200 |
| As time | 54072 seconds = 15 h 1 min 12 s |
Is 54072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54072 ÷ 2 = 27036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54072 ÷ 3 = 18024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54072 ÷ 4 = 13518) | 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 (54072 ÷ 6 = 9012) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (54072 ÷ 8 = 6759) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54072 ÷ 9 = 6008) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54072 ÷ 12 = 4506) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54072 a prime number?
No. 54072 = × × 751, so it is divisible by 2.
What are the factors of 54072?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 751, 1502, 2253, 3004, 4506, 6008, 6759, 9012, 13518, 18024, 27036, 54072.
What is 54072 in binary?
1101001100111000 (hexadecimal D338, octal 151470).
What is the square root of 54072?
About 232.5339, exactly 6√1502.
Is 54072 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 54072?
54072 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.