The number 55315
55315 is a composite number with 16 divisors. Its prime factorisation is 5 × 13 × 23 × 37. Divisors (16): 1, 5, 13, 23, 37, 65, 115, 185, 299, 481, 851, 1495, 2405, 4255, 11063, 55315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55315 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55315 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 55315 itself that is 21293, so 55315 is deficient (21293 is less than 55315). Euler's totient φ(55315) = 38016 numbers up to 55315 share no factor with it.
- 4
The digits of 55315 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55315 = 5 \times 13 \times 23 \times 37 \]
55315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 38016 |
| Square | 3059749225 |
| Cube | 169250028380875 |
| Square root | 235.191411 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.5315 × |
55315 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifteen |
| Binary (base 2) | 1101100000010011 |
| Octal (base 8) | 154023 |
| Hexadecimal (base 16) | D813 |
| Base 3 | 2210212201 |
| As time | 55315 seconds = 15 h 21 min 55 s |
Is 55315 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 | Yes (55315 ÷ 5 = 11063) | 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 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 55315 a prime number?
No. 55315 = 5 × 13 × 23 × 37, so it is divisible by 5.
What are the factors of 55315?
1, 5, 13, 23, 37, 65, 115, 185, 299, 481, 851, 1495, 2405, 4255, 11063, 55315.
What is 55315 in binary?
1101100000010011 (hexadecimal D813, octal 154023).
What is the square root of 55315?
About 235.1914.
Is 55315 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55315?
It is a composite number with 16 divisors.