The number 16315
16315 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 251. Divisors (8): 1, 5, 13, 65, 251, 1255, 3263, 16315.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16315 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16315 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 16315 itself that is 4853, so 16315 is deficient (4853 is less than 16315). Euler's totient φ(16315) = 12000 numbers up to 16315 share no factor with it.
- 4
The digits of 16315 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16315 = 5 \times 13 \times 251 \]
16315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 12000 |
| Square | 266179225 |
| Cube | 4342714055875 |
| Square root | 127.730184 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6315 × |
16315 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and fifteen |
| Binary (base 2) | 11111110111011 |
| Octal (base 8) | 37673 |
| Hexadecimal (base 16) | 3FBB |
| Base 3 | 211101021 |
| As time | 16315 seconds = 4 h 31 min 55 s |
Is 16315 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 (16315 ÷ 5 = 3263) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 16315 a prime number?
No. 16315 = 5 × 13 × 251, so it is divisible by 5.
What are the factors of 16315?
1, 5, 13, 65, 251, 1255, 3263, 16315.
What is 16315 in binary?
11111110111011 (hexadecimal 3FBB, octal 37673).
What is the square root of 16315?
About 127.7302.
Is 16315 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16315?
It is a composite number with 8 divisors.