The number 54672
54672 is a composite number with 40 divisors. Its prime factorisation is × 3 × 17 × 67. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102 … 54672.
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How to work it out
- 1
What is special about 54672: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
54672 is composite. Its prime factorisation is
- 3
The divisors add up to 151776; without 54672 itself that is 97104, so 54672 is abundant (97104 is more than 54672). Euler's totient φ(54672) = 16896 numbers up to 54672 share no factor with it.
- 4
The digits of 54672 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54672 = 2^{4} \times 3 \times 17 \times 67 \]54672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 151776 |
| Euler totient φ(n) | 16896 |
| Square | 2989027584 |
| Cube | 163416116072448 |
| Square root | 233.820444 (= 4√3417) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.4672 × |
54672 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand six hundred and seventy-two |
| Binary (base 2) | 1101010110010000 |
| Octal (base 8) | 152620 |
| Hexadecimal (base 16) | D590 |
| Base 3 | 2202222220 |
| As time | 54672 seconds = 15 h 11 min 12 s |
Is 54672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54672 ÷ 2 = 27336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54672 ÷ 3 = 18224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54672 ÷ 4 = 13668) | 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 (54672 ÷ 6 = 9112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (54672 ÷ 8 = 6834) | 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 | 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 (54672 ÷ 12 = 4556) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54672 a prime number?
No. 54672 = × 3 × 17 × 67, so it is divisible by 2.
What are the factors of 54672?
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102, 134, 136, 201, 204, 268, 272, 402, 408, 536, 804, 816, 1072, 1139, 1608, 2278, 3216, 3417, 4556, 6834, 9112, 13668, 18224, 27336, 54672.
What is 54672 in binary?
1101010110010000 (hexadecimal D590, octal 152620).
What is the square root of 54672?
About 233.8204, exactly 4√3417.
Is 54672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 54672?
54672 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.