The number 41002
41002 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 19 × 83. Divisors (16): 1, 2, 13, 19, 26, 38, 83, 166, 247, 494, 1079, 1577, 2158, 3154, 20501, 41002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41002 is composite. Its prime factorisation is
- 3
The divisors add up to 70560; without 41002 itself that is 29558, so 41002 is deficient (29558 is less than 41002). Euler's totient φ(41002) = 17712 numbers up to 41002 share no factor with it.
- 4
The digits of 41002 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41002 = 2 \times 13 \times 19 \times 83 \]
41002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70560 |
| Euler totient φ(n) | 17712 |
| Square | 1681164004 |
| Cube | 68931086492008 |
| Square root | 202.489506 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1002 × |
41002 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and two |
| Binary (base 2) | 1010000000101010 |
| Octal (base 8) | 120052 |
| Hexadecimal (base 16) | A02A |
| Base 3 | 2002020121 |
| As time | 41002 seconds = 11 h 23 min 22 s |
Is 41002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41002 ÷ 2 = 20501) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41002 a prime number?
No. 41002 = 2 × 13 × 19 × 83, so it is divisible by 2.
What are the factors of 41002?
1, 2, 13, 19, 26, 38, 83, 166, 247, 494, 1079, 1577, 2158, 3154, 20501, 41002.
What is 41002 in binary?
1010000000101010 (hexadecimal A02A, octal 120052).
What is the square root of 41002?
About 202.4895.
Is 41002 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 41002?
It is a composite number with 16 divisors.