The number 41464
41464 is a composite number with 16 divisors. Its prime factorisation is × 71 × 73. Divisors (16): 1, 2, 4, 8, 71, 73, 142, 146, 284, 292, 568, 584, 5183, 10366, 20732, 41464.
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How to work it out
- 1
41464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41464 is composite. Its prime factorisation is
- 3
The divisors add up to 79920; without 41464 itself that is 38456, so 41464 is deficient (38456 is less than 41464). Euler's totient φ(41464) = 20160 numbers up to 41464 share no factor with it.
- 4
The digits of 41464 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41464 = 2^{3} \times 71 \times 73 \]41464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79920 |
| Euler totient φ(n) | 20160 |
| Square | 1719263296 |
| Cube | 71287533305344 |
| Square root | 203.627110 (= 2√10366) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1464 × |
41464 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and sixty-four |
| Binary (base 2) | 1010000111111000 |
| Octal (base 8) | 120770 |
| Hexadecimal (base 16) | A1F8 |
| Base 3 | 2002212201 |
| As time | 41464 seconds = 11 h 31 min 4 s |
Is 41464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41464 ÷ 2 = 20732) | 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 (41464 ÷ 4 = 10366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 (41464 ÷ 8 = 5183) | 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 4) | 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 41464 a prime number?
No. 41464 = × 71 × 73, so it is divisible by 2.
What are the factors of 41464?
1, 2, 4, 8, 71, 73, 142, 146, 284, 292, 568, 584, 5183, 10366, 20732, 41464.
What is 41464 in binary?
1010000111111000 (hexadecimal A1F8, octal 120770).
What is the square root of 41464?
About 203.6271, exactly 2√10366.
Is 41464 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 41464?
It is a composite number with 16 divisors.