The number 55351
55351 is the 5623rd prime number. Its only divisors are 1 and 55351.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55351: the 5623rd prime number.
- 2
55351 is prime, so its only factors are 1 and 55351. It is the 5623rd prime; the next prime is 55373 and the one before is 55343.
- 3
The divisors add up to 55352; without 55351 itself that is 1, so 55351 is deficient (1 is less than 55351). Euler's totient φ(55351) = 55350 numbers up to 55351 share no factor with it.
- 4
The digits of 55351 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 140 steps to reach 1.
55351 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55352 |
| Euler totient φ(n) | 55350 |
| Square | 3063733201 |
| Cube | 169580696408551 |
| Square root | 235.267932 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5351 × |
55351 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifty-one |
| Binary (base 2) | 1101100000110111 |
| Octal (base 8) | 154067 |
| Hexadecimal (base 16) | D837 |
| Base 3 | 2210221001 |
| As time | 55351 seconds = 15 h 22 min 31 s |
Is 55351 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 3) | 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 | No (remainder 2) | 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 7) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55351 a prime number?
Yes. 55351 is divisible only by 1 and itself.
What are the factors of 55351?
1, 55351.
What is 55351 in binary?
1101100000110111 (hexadecimal D837, octal 154067).
What is the square root of 55351?
About 235.2679.
Is 55351 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55351?
55351 is the 5623rd prime number.