The number 40077
40077 is a composite number with 12 divisors. Its prime factorisation is × 61 × 73. Divisors (12): 1, 3, 9, 61, 73, 183, 219, 549, 657, 4453, 13359, 40077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40077 is composite. Its prime factorisation is
- 3
The divisors add up to 59644; without 40077 itself that is 19567, so 40077 is deficient (19567 is less than 40077). Euler's totient φ(40077) = 25920 numbers up to 40077 share no factor with it.
- 4
The digits of 40077 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40077 = 3^{2} \times 61 \times 73 \]40077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59644 |
| Euler totient φ(n) | 25920 |
| Square | 1606165929 |
| Cube | 64370311936533 |
| Square root | 200.192407 (= 3√4453) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0077 × |
40077 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and seventy-seven |
| Binary (base 2) | 1001110010001101 |
| Octal (base 8) | 116215 |
| Hexadecimal (base 16) | 9C8D |
| Base 3 | 2000222100 |
| As time | 40077 seconds = 11 h 7 min 57 s |
Is 40077 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 | Yes (40077 ÷ 3 = 13359) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40077 ÷ 9 = 4453) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40077 a prime number?
No. 40077 = × 61 × 73, so it is divisible by 3.
What are the factors of 40077?
1, 3, 9, 61, 73, 183, 219, 549, 657, 4453, 13359, 40077.
What is 40077 in binary?
1001110010001101 (hexadecimal 9C8D, octal 116215).
What is the square root of 40077?
About 200.1924, exactly 3√4453.
Is 40077 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40077?
It is a composite number with 12 divisors.