The number 54708
54708 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 97. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 94, 97, 141, 188, 194, 282, 291, 388, 564 … 54708.
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How to work it out
- 1
54708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54708 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 54708 itself that is 77004, so 54708 is abundant (77004 is more than 54708). Euler's totient φ(54708) = 17664 numbers up to 54708 share no factor with it.
- 4
The digits of 54708 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 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54708 = 2^{2} \times 3 \times 47 \times 97 \]54708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 17664 |
| Square | 2992965264 |
| Cube | 163739143662912 |
| Square root | 233.897413 (= 2√13677) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.4708 × |
54708 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand seven hundred and eight |
| Binary (base 2) | 1101010110110100 |
| Octal (base 8) | 152664 |
| Hexadecimal (base 16) | D5B4 |
| Base 3 | 2210001020 |
| As time | 54708 seconds = 15 h 11 min 48 s |
Is 54708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54708 ÷ 2 = 27354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54708 ÷ 3 = 18236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54708 ÷ 4 = 13677) | 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 (54708 ÷ 6 = 9118) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (54708 ÷ 12 = 4559) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54708 a prime number?
No. 54708 = × 3 × 47 × 97, so it is divisible by 2.
What are the factors of 54708?
1, 2, 3, 4, 6, 12, 47, 94, 97, 141, 188, 194, 282, 291, 388, 564, 582, 1164, 4559, 9118, 13677, 18236, 27354, 54708.
What is 54708 in binary?
1101010110110100 (hexadecimal D5B4, octal 152664).
What is the square root of 54708?
About 233.8974, exactly 2√13677.
Is 54708 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 54708?
It is a composite number with 24 divisors.