The number 55901
55901 is a twin prime (55901 and 55903 are both prime) and the 5674th prime number. Its only divisors are 1 and 55901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55901: a twin prime (55901 and 55903 are both prime); the 5674th prime number.
- 2
55901 is prime, so its only factors are 1 and 55901. It is the 5674th prime; the next prime is 55903 and the one before is 55897.
- 3
The divisors add up to 55902; without 55901 itself that is 1, so 55901 is deficient (1 is less than 55901). Euler's totient φ(55901) = 55900 numbers up to 55901 share no factor with it.
- 4
The digits of 55901 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55902 |
| Euler totient φ(n) | 55900 |
| Square | 3124921801 |
| Cube | 174686253597701 |
| Square root | 236.433923 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5901 × |
55901 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and one |
| Binary (base 2) | 1101101001011101 |
| Octal (base 8) | 155135 |
| Hexadecimal (base 16) | DA5D |
| Base 3 | 2211200102 |
| As time | 55901 seconds = 15 h 31 min 41 s |
Is 55901 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 6) | 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 2) | 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 10) | 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 55901 a prime number?
Yes. 55901 is divisible only by 1 and itself.
What are the factors of 55901?
1, 55901.
What is 55901 in binary?
1101101001011101 (hexadecimal DA5D, octal 155135).
What is the square root of 55901?
About 236.4339.
Is 55901 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55901?
55901 is a twin prime (55901 and 55903 are both prime); the 5674th prime number.