The number 41200
41200 is a composite number with 30 divisors. Its prime factorisation is × × 103. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 103, 200, 206 … 41200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41200 is composite. Its prime factorisation is
- 3
The divisors add up to 99944; without 41200 itself that is 58744, so 41200 is abundant (58744 is more than 41200). Euler's totient φ(41200) = 16320 numbers up to 41200 share no factor with it.
- 4
The digits of 41200 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41200 = 2^{4} \times 5^{2} \times 103 \]41200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 99944 |
| Euler totient φ(n) | 16320 |
| Square | 1697440000 |
| Cube | 69934528000000 |
| Square root | 202.977831 (= 20√103) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.12 × |
41200 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand two hundred |
| Binary (base 2) | 1010000011110000 |
| Octal (base 8) | 120360 |
| Hexadecimal (base 16) | A0F0 |
| Base 3 | 2002111221 |
| As time | 41200 seconds = 11 h 26 min 40 s |
Is 41200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41200 ÷ 2 = 20600) | 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 | Yes (41200 ÷ 4 = 10300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41200 ÷ 5 = 8240) | 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 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 | Yes (41200 ÷ 8 = 5150) | 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 | Yes (41200 ÷ 10 = 4120) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41200 a prime number?
No. 41200 = × × 103, so it is divisible by 2.
What are the factors of 41200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 103, 200, 206, 400, 412, 515, 824, 1030, 1648, 2060, 2575, 4120, 5150, 8240, 10300, 20600, 41200.
What is 41200 in binary?
1010000011110000 (hexadecimal A0F0, octal 120360).
What is the square root of 41200?
About 202.9778, exactly 20√103.
Is 41200 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 41200?
It is a composite number with 30 divisors.