The number 54401
54401 is a twin prime (54401 and 54403 are both prime) and the 5533rd prime number. Its only divisors are 1 and 54401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 54401: a twin prime (54401 and 54403 are both prime); the 5533rd prime number.
- 2
54401 is prime, so its only factors are 1 and 54401. It is the 5533rd prime; the next prime is 54403 and the one before is 54377.
- 3
The divisors add up to 54402; without 54401 itself that is 1, so 54401 is deficient (1 is less than 54401). Euler's totient φ(54401) = 54400 numbers up to 54401 share no factor with it.
- 4
The digits of 54401 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
54401 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 54402 |
| Euler totient φ(n) | 54400 |
| Square | 2959468801 |
| Cube | 160998062243201 |
| Square root | 233.240220 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.4401 × |
54401 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand four hundred and one |
| Binary (base 2) | 1101010010000001 |
| Octal (base 8) | 152201 |
| Hexadecimal (base 16) | D481 |
| Base 3 | 2202121212 |
| As time | 54401 seconds = 15 h 6 min 41 s |
Is 54401 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54401 a prime number?
Yes. 54401 is divisible only by 1 and itself.
What are the factors of 54401?
1, 54401.
What is 54401 in binary?
1101010010000001 (hexadecimal D481, octal 152201).
What is the square root of 54401?
About 233.2402.
Is 54401 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 54401?
54401 is a twin prime (54401 and 54403 are both prime); the 5533rd prime number.