The number 41167
41167 is a composite number with 4 divisors. Its prime factorisation is 7 × 5881. Divisors (4): 1, 7, 5881, 41167.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41167: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5881, the product of two primes.
- 2
41167 is composite. Its prime factorisation is
- 3
The divisors add up to 47056; without 41167 itself that is 5889, so 41167 is deficient (5889 is less than 41167). Euler's totient φ(41167) = 35280 numbers up to 41167 share no factor with it.
- 4
The digits of 41167 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41167 = 7 \times 5881 \]
41167 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 47056 |
| Euler totient φ(n) | 35280 |
| Square | 1694721889 |
| Cube | 69766616004463 |
| Square root | 202.896525 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1167 × |
41167 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand one hundred and sixty-seven |
| Binary (base 2) | 1010000011001111 |
| Octal (base 8) | 120317 |
| Hexadecimal (base 16) | A0CF |
| Base 3 | 2002110201 |
| As time | 41167 seconds = 11 h 26 min 7 s |
Is 41167 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41167 ÷ 7 = 5881) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41167 a prime number?
No. 41167 = 7 × 5881, so it is divisible by 7.
What are the factors of 41167?
1, 7, 5881, 41167.
What is 41167 in binary?
1010000011001111 (hexadecimal A0CF, octal 120317).
What is the square root of 41167?
About 202.8965.
Is 41167 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 41167?
41167 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 5881, the product of two primes.