The number 54981
54981 is a composite number with 12 divisors. Its prime factorisation is × 41 × 149. Divisors (12): 1, 3, 9, 41, 123, 149, 369, 447, 1341, 6109, 18327, 54981.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54981 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54981 is composite. Its prime factorisation is
- 3
The divisors add up to 81900; without 54981 itself that is 26919, so 54981 is deficient (26919 is less than 54981). Euler's totient φ(54981) = 35520 numbers up to 54981 share no factor with it.
- 4
The digits of 54981 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54981 = 3^{2} \times 41 \times 149 \]54981 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81900 |
| Euler totient φ(n) | 35520 |
| Square | 3022910361 |
| Cube | 166202634558141 |
| Square root | 234.480276 (= 3√6109) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.4981 × |
54981 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and eighty-one |
| Binary (base 2) | 1101011011000101 |
| Octal (base 8) | 153305 |
| Hexadecimal (base 16) | D6C5 |
| Base 3 | 2210102100 |
| As time | 54981 seconds = 15 h 16 min 21 s |
Is 54981 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54981 ÷ 3 = 18327) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (54981 ÷ 9 = 6109) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54981 a prime number?
No. 54981 = × 41 × 149, so it is divisible by 3.
What are the factors of 54981?
1, 3, 9, 41, 123, 149, 369, 447, 1341, 6109, 18327, 54981.
What is 54981 in binary?
1101011011000101 (hexadecimal D6C5, octal 153305).
What is the square root of 54981?
About 234.4803, exactly 3√6109.
Is 54981 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 54981?
It is a composite number with 12 divisors.