The number 54008
54008 is a composite number with 16 divisors. Its prime factorisation is × 43 × 157. Divisors (16): 1, 2, 4, 8, 43, 86, 157, 172, 314, 344, 628, 1256, 6751, 13502, 27004, 54008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54008 is composite. Its prime factorisation is
- 3
The divisors add up to 104280; without 54008 itself that is 50272, so 54008 is deficient (50272 is less than 54008). Euler's totient φ(54008) = 26208 numbers up to 54008 share no factor with it.
- 4
The digits of 54008 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54008 = 2^{3} \times 43 \times 157 \]54008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 104280 |
| Euler totient φ(n) | 26208 |
| Square | 2916864064 |
| Cube | 157533994368512 |
| Square root | 232.396213 (= 2√13502) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.4008 × |
54008 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand and eight |
| Binary (base 2) | 1101001011111000 |
| Octal (base 8) | 151370 |
| Hexadecimal (base 16) | D2F8 |
| Base 3 | 2202002022 |
| As time | 54008 seconds = 15 h 0 min 8 s |
Is 54008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54008 ÷ 2 = 27004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54008 ÷ 4 = 13502) | 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 | No (remainder 2) | 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 | Yes (54008 ÷ 8 = 6751) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54008 a prime number?
No. 54008 = × 43 × 157, so it is divisible by 2.
What are the factors of 54008?
1, 2, 4, 8, 43, 86, 157, 172, 314, 344, 628, 1256, 6751, 13502, 27004, 54008.
What is 54008 in binary?
1101001011111000 (hexadecimal D2F8, octal 151370).
What is the square root of 54008?
About 232.3962, exactly 2√13502.
Is 54008 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 54008?
It is a composite number with 16 divisors.