The number 41013
41013 is a composite number with 24 divisors. Its prime factorisation is × × 31. Divisors (24): 1, 3, 7, 9, 21, 27, 31, 49, 63, 93, 147, 189, 217, 279, 441, 651 … 41013.
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How to work it out
- 1
What is special about 41013: a Harshad number: divisible by its digit sum 9.
- 2
41013 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 41013 itself that is 31947, so 41013 is deficient (31947 is less than 41013). Euler's totient φ(41013) = 22680 numbers up to 41013 share no factor with it.
- 4
The digits of 41013 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41013 = 3^{3} \times 7^{2} \times 31 \]41013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 22680 |
| Square | 1682066169 |
| Cube | 68986579789197 |
| Square root | 202.516666 (= 21√93) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1013 × |
41013 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and thirteen |
| Binary (base 2) | 1010000000110101 |
| Octal (base 8) | 120065 |
| Hexadecimal (base 16) | A035 |
| Base 3 | 2002021000 |
| As time | 41013 seconds = 11 h 23 min 33 s |
Is 41013 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 (41013 ÷ 3 = 13671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (41013 ÷ 7 = 5859) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41013 ÷ 9 = 4557) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41013 a prime number?
No. 41013 = × × 31, so it is divisible by 3.
What are the factors of 41013?
1, 3, 7, 9, 21, 27, 31, 49, 63, 93, 147, 189, 217, 279, 441, 651, 837, 1323, 1519, 1953, 4557, 5859, 13671, 41013.
What is 41013 in binary?
1010000000110101 (hexadecimal A035, octal 120065).
What is the square root of 41013?
About 202.5167, exactly 21√93.
Is 41013 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41013?
41013 is a Harshad number: divisible by its digit sum 9.