The number 41407
41407 is a composite number with 4 divisors. Its prime factorisation is 47 × 881. Divisors (4): 1, 47, 881, 41407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41407: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 881, the product of two primes.
- 2
41407 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 41407 itself that is 929, so 41407 is deficient (929 is less than 41407). Euler's totient φ(41407) = 40480 numbers up to 41407 share no factor with it.
- 4
The digits of 41407 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41407 = 47 \times 881 \]
41407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 40480 |
| Square | 1714539649 |
| Cube | 70993943246143 |
| Square root | 203.487100 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.1407 × |
41407 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and seven |
| Binary (base 2) | 1010000110111111 |
| Octal (base 8) | 120677 |
| Hexadecimal (base 16) | A1BF |
| Base 3 | 2002210121 |
| As time | 41407 seconds = 11 h 30 min 7 s |
Is 41407 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 | No (remainder 2) | 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 7) | 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 3) | 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 41407 a prime number?
No. 41407 = 47 × 881, so it is divisible by 47.
What are the factors of 41407?
1, 47, 881, 41407.
What is 41407 in binary?
1010000110111111 (hexadecimal A1BF, octal 120677).
What is the square root of 41407?
About 203.4871.
Is 41407 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41407?
41407 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 47 × 881, the product of two primes.