The number 55319
55319 is a composite number with 8 divisors. Its prime factorisation is 11 × 47 × 107. Divisors (8): 1, 11, 47, 107, 517, 1177, 5029, 55319.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55319 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55319 is composite. Its prime factorisation is
- 3
The divisors add up to 62208; without 55319 itself that is 6889, so 55319 is deficient (6889 is less than 55319). Euler's totient φ(55319) = 48760 numbers up to 55319 share no factor with it.
- 4
The digits of 55319 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55319 = 11 \times 47 \times 107 \]
55319 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62208 |
| Euler totient φ(n) | 48760 |
| Square | 3060191761 |
| Cube | 169286748026759 |
| Square root | 235.199915 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5319 × |
55319 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and nineteen |
| Binary (base 2) | 1101100000010111 |
| Octal (base 8) | 154027 |
| Hexadecimal (base 16) | D817 |
| Base 3 | 2210212212 |
| As time | 55319 seconds = 15 h 21 min 59 s |
Is 55319 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 3) | 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 7) | 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 | Yes (55319 ÷ 11 = 5029) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55319 a prime number?
No. 55319 = 11 × 47 × 107, so it is divisible by 11.
What are the factors of 55319?
1, 11, 47, 107, 517, 1177, 5029, 55319.
What is 55319 in binary?
1101100000010111 (hexadecimal D817, octal 154027).
What is the square root of 55319?
About 235.1999.
Is 55319 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55319?
It is a composite number with 8 divisors.