The number 54988
54988 is a composite number with 12 divisors. Its prime factorisation is × 59 × 233. Divisors (12): 1, 2, 4, 59, 118, 233, 236, 466, 932, 13747, 27494, 54988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54988 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 54988 itself that is 43292, so 54988 is deficient (43292 is less than 54988). Euler's totient φ(54988) = 26912 numbers up to 54988 share no factor with it.
- 4
The digits of 54988 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54988 = 2^{2} \times 59 \times 233 \]54988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 26912 |
| Square | 3023680144 |
| Cube | 166266123758272 |
| Square root | 234.495203 (= 2√13747) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4988 × |
54988 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and eighty-eight |
| Binary (base 2) | 1101011011001100 |
| Octal (base 8) | 153314 |
| Hexadecimal (base 16) | D6CC |
| Base 3 | 2210102121 |
| As time | 54988 seconds = 15 h 16 min 28 s |
Is 54988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54988 ÷ 2 = 27494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (54988 ÷ 4 = 13747) | 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 4) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54988 a prime number?
No. 54988 = × 59 × 233, so it is divisible by 2.
What are the factors of 54988?
1, 2, 4, 59, 118, 233, 236, 466, 932, 13747, 27494, 54988.
What is 54988 in binary?
1101011011001100 (hexadecimal D6CC, octal 153314).
What is the square root of 54988?
About 234.4952, exactly 2√13747.
Is 54988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 54988?
It is a composite number with 12 divisors.