The number 41004
41004 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 67. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 67, 68, 102, 134 … 41004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41004: a Harshad number: divisible by its digit sum 9.
- 2
41004 is composite. Its prime factorisation is
- 3
The divisors add up to 111384; without 41004 itself that is 70380, so 41004 is abundant (70380 is more than 41004). Euler's totient φ(41004) = 12672 numbers up to 41004 share no factor with it.
- 4
The digits of 41004 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41004 = 2^{2} \times 3^{2} \times 17 \times 67 \]41004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 111384 |
| Euler totient φ(n) | 12672 |
| Square | 1681328016 |
| Cube | 68941173968064 |
| Square root | 202.494444 (= 6√1139) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1004 × |
41004 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and four |
| Binary (base 2) | 1010000000101100 |
| Octal (base 8) | 120054 |
| Hexadecimal (base 16) | A02C |
| Base 3 | 2002020200 |
| As time | 41004 seconds = 11 h 23 min 24 s |
Is 41004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41004 ÷ 2 = 20502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41004 ÷ 3 = 13668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41004 ÷ 4 = 10251) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41004 ÷ 6 = 6834) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41004 ÷ 9 = 4556) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (41004 ÷ 12 = 3417) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41004 a prime number?
No. 41004 = × × 17 × 67, so it is divisible by 2.
What are the factors of 41004?
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 67, 68, 102, 134, 153, 201, 204, 268, 306, 402, 603, 612, 804, 1139, 1206, 2278, 2412, 3417, 4556, 6834, 10251, 13668, 20502, 41004.
What is 41004 in binary?
1010000000101100 (hexadecimal A02C, octal 120054).
What is the square root of 41004?
About 202.4944, exactly 6√1139.
Is 41004 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41004?
41004 is a Harshad number: divisible by its digit sum 9.