The number 41016
41016 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1709. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1709, 3418, 5127, 6836, 10254, 13672, 20508, 41016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41016: a Harshad number: divisible by its digit sum 12.
- 2
41016 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 41016 itself that is 61584, so 41016 is abundant (61584 is more than 41016). Euler's totient φ(41016) = 13664 numbers up to 41016 share no factor with it.
- 4
The digits of 41016 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41016 = 2^{3} \times 3 \times 1709 \]41016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 13664 |
| Square | 1682312256 |
| Cube | 69001719492096 |
| Square root | 202.524073 (= 2√10254) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1016 × |
41016 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and sixteen |
| Binary (base 2) | 1010000000111000 |
| Octal (base 8) | 120070 |
| Hexadecimal (base 16) | A038 |
| Base 3 | 2002021010 |
| As time | 41016 seconds = 11 h 23 min 36 s |
Is 41016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41016 ÷ 2 = 20508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41016 ÷ 3 = 13672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41016 ÷ 4 = 10254) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41016 ÷ 6 = 6836) | 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 | Yes (41016 ÷ 8 = 5127) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (41016 ÷ 12 = 3418) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41016 a prime number?
No. 41016 = × 3 × 1709, so it is divisible by 2.
What are the factors of 41016?
1, 2, 3, 4, 6, 8, 12, 24, 1709, 3418, 5127, 6836, 10254, 13672, 20508, 41016.
What is 41016 in binary?
1010000000111000 (hexadecimal A038, octal 120070).
What is the square root of 41016?
About 202.5241, exactly 2√10254.
Is 41016 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 41016?
41016 is a Harshad number: divisible by its digit sum 12.