The number 55949
55949 is the 5680th prime number. Its only divisors are 1 and 55949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55949: the 5680th prime number.
- 2
55949 is prime, so its only factors are 1 and 55949. It is the 5680th prime; the next prime is 55967 and the one before is 55933.
- 3
The divisors add up to 55950; without 55949 itself that is 1, so 55949 is deficient (1 is less than 55949). Euler's totient φ(55949) = 55948 numbers up to 55949 share no factor with it.
- 4
The digits of 55949 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
55949 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55950 |
| Euler totient φ(n) | 55948 |
| Square | 3130290601 |
| Cube | 175136628835349 |
| Square root | 236.535410 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5949 × |
55949 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and forty-nine |
| Binary (base 2) | 1101101010001101 |
| Octal (base 8) | 155215 |
| Hexadecimal (base 16) | DA8D |
| Base 3 | 2211202012 |
| As time | 55949 seconds = 15 h 32 min 29 s |
Is 55949 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 4) | 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 5) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55949 a prime number?
Yes. 55949 is divisible only by 1 and itself.
What are the factors of 55949?
1, 55949.
What is 55949 in binary?
1101101010001101 (hexadecimal DA8D, octal 155215).
What is the square root of 55949?
About 236.5354.
Is 55949 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55949?
55949 is the 5680th prime number.