The number 40807
40807 is a composite number with 8 divisors. Its prime factorisation is 13 × 43 × 73. Divisors (8): 1, 13, 43, 73, 559, 949, 3139, 40807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40807: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40807 is composite. Its prime factorisation is
- 3
The divisors add up to 45584; without 40807 itself that is 4777, so 40807 is deficient (4777 is less than 40807). Euler's totient φ(40807) = 36288 numbers up to 40807 share no factor with it.
- 4
The digits of 40807 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40807 = 13 \times 43 \times 73 \]
40807 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45584 |
| Euler totient φ(n) | 36288 |
| Square | 1665211249 |
| Cube | 67952275437943 |
| Square root | 202.007426 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.0807 × |
40807 in other forms
| Form | Value |
|---|---|
| In words | forty thousand eight hundred and seven |
| Binary (base 2) | 1001111101100111 |
| Octal (base 8) | 117547 |
| Hexadecimal (base 16) | 9F67 |
| Base 3 | 2001222101 |
| As time | 40807 seconds = 11 h 20 min 7 s |
Is 40807 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 4) | 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 8) | 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 40807 a prime number?
No. 40807 = 13 × 43 × 73, so it is divisible by 13.
What are the factors of 40807?
1, 13, 43, 73, 559, 949, 3139, 40807.
What is 40807 in binary?
1001111101100111 (hexadecimal 9F67, octal 117547).
What is the square root of 40807?
About 202.0074.
Is 40807 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40807?
40807 is a happy number: repeatedly adding the squares of its digits reaches 1.