The number 54901
54901 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 23 × 31. Divisors (16): 1, 7, 11, 23, 31, 77, 161, 217, 253, 341, 713, 1771, 2387, 4991, 7843, 54901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
54901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54901 is composite. Its prime factorisation is
- 3
The divisors add up to 73728; without 54901 itself that is 18827, so 54901 is deficient (18827 is less than 54901). Euler's totient φ(54901) = 39600 numbers up to 54901 share no factor with it.
- 4
The digits of 54901 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54901 = 7 \times 11 \times 23 \times 31 \]
54901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 39600 |
| Square | 3014119801 |
| Cube | 165478191194701 |
| Square root | 234.309624 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.4901 × |
54901 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand nine hundred and one |
| Binary (base 2) | 1101011001110101 |
| Octal (base 8) | 153165 |
| Hexadecimal (base 16) | D675 |
| Base 3 | 2210022101 |
| As time | 54901 seconds = 15 h 15 min 1 s |
Is 54901 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54901 ÷ 7 = 7843) | 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 | No (remainder 1) | 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 | Yes (54901 ÷ 11 = 4991) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54901 a prime number?
No. 54901 = 7 × 11 × 23 × 31, so it is divisible by 7.
What are the factors of 54901?
1, 7, 11, 23, 31, 77, 161, 217, 253, 341, 713, 1771, 2387, 4991, 7843, 54901.
What is 54901 in binary?
1101011001110101 (hexadecimal D675, octal 153165).
What is the square root of 54901?
About 234.3096.
Is 54901 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 54901?
It is a composite number with 16 divisors.