The number 76041
76041 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 71. Divisors (24): 1, 3, 7, 9, 17, 21, 51, 63, 71, 119, 153, 213, 357, 497, 639, 1071 … 76041.
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How to work it out
- 1
76041 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76041 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 76041 itself that is 58743, so 76041 is deficient (58743 is less than 76041). Euler's totient φ(76041) = 40320 numbers up to 76041 share no factor with it.
- 4
The digits of 76041 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76041 = 3^{2} \times 7 \times 17 \times 71 \]76041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 40320 |
| Square | 5782233681 |
| Cube | 439686831336921 |
| Square root | 275.755326 (= 3√8449) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6041 × |
76041 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and forty-one |
| Binary (base 2) | 10010100100001001 |
| Octal (base 8) | 224411 |
| Hexadecimal (base 16) | 12909 |
| Base 3 | 10212022100 |
| As time | 76041 seconds = 21 h 7 min 21 s |
Is 76041 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 (76041 ÷ 3 = 25347) | 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 1) | 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 (76041 ÷ 7 = 10863) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76041 ÷ 9 = 8449) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 76041 a prime number?
No. 76041 = × 7 × 17 × 71, so it is divisible by 3.
What are the factors of 76041?
1, 3, 7, 9, 17, 21, 51, 63, 71, 119, 153, 213, 357, 497, 639, 1071, 1207, 1491, 3621, 4473, 8449, 10863, 25347, 76041.
What is 76041 in binary?
10010100100001001 (hexadecimal 12909, octal 224411).
What is the square root of 76041?
About 275.7553, exactly 3√8449.
Is 76041 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76041?
It is a composite number with 24 divisors.