The number 40816
40816 is a composite number with 10 divisors. Its prime factorisation is × 2551. Divisors (10): 1, 2, 4, 8, 16, 2551, 5102, 10204, 20408, 40816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40816 is composite. Its prime factorisation is
- 3
The divisors add up to 79112; without 40816 itself that is 38296, so 40816 is deficient (38296 is less than 40816). Euler's totient φ(40816) = 20400 numbers up to 40816 share no factor with it.
- 4
The digits of 40816 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
\[ 40816 = 2^{4} \times 2551 \]40816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 79112 |
| Euler totient φ(n) | 20400 |
| Square | 1665945856 |
| Cube | 67997246058496 |
| Square root | 202.029701 (= 4√2551) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0816 × |
40816 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and sixteen |
| Binary (base 2) | 1001111101110000 |
| Octal (base 8) | 117560 |
| Hexadecimal (base 16) | 9F70 |
| Base 3 | 2001222201 |
| As time | 40816 seconds = 11 h 20 min 16 s |
Is 40816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40816 ÷ 2 = 20408) | 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 (40816 ÷ 4 = 10204) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40816 ÷ 8 = 5102) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 40816 a prime number?
No. 40816 = × 2551, so it is divisible by 2.
What are the factors of 40816?
1, 2, 4, 8, 16, 2551, 5102, 10204, 20408, 40816.
What is 40816 in binary?
1001111101110000 (hexadecimal 9F70, octal 117560).
What is the square root of 40816?
About 202.0297, exactly 4√2551.
Is 40816 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40816?
It is a composite number with 10 divisors.