The number 16215
16215 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 23 × 47. Divisors (16): 1, 3, 5, 15, 23, 47, 69, 115, 141, 235, 345, 705, 1081, 3243, 5405, 16215.
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How to work it out
- 1
What is special about 16215: a Harshad number: divisible by its digit sum 15.
- 2
16215 is composite. Its prime factorisation is
- 3
The divisors add up to 27648; without 16215 itself that is 11433, so 16215 is deficient (11433 is less than 16215). Euler's totient φ(16215) = 8096 numbers up to 16215 share no factor with it.
- 4
The digits of 16215 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16215 = 3 \times 5 \times 23 \times 47 \]
16215 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27648 |
| Euler totient φ(n) | 8096 |
| Square | 262926225 |
| Cube | 4263348738375 |
| Square root | 127.338133 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6215 × |
16215 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and fifteen |
| Binary (base 2) | 11111101010111 |
| Octal (base 8) | 37527 |
| Hexadecimal (base 16) | 3F57 |
| Base 3 | 211020120 |
| As time | 16215 seconds = 4 h 30 min 15 s |
Is 16215 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 | Yes (16215 ÷ 3 = 5405) | 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 (16215 ÷ 5 = 3243) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16215 a prime number?
No. 16215 = 3 × 5 × 23 × 47, so it is divisible by 3.
What are the factors of 16215?
1, 3, 5, 15, 23, 47, 69, 115, 141, 235, 345, 705, 1081, 3243, 5405, 16215.
What is 16215 in binary?
11111101010111 (hexadecimal 3F57, octal 37527).
What is the square root of 16215?
About 127.3381.
Is 16215 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16215?
16215 is a Harshad number: divisible by its digit sum 15.