The number 40977
40977 is a composite number with 12 divisors. Its prime factorisation is × 29 × 157. Divisors (12): 1, 3, 9, 29, 87, 157, 261, 471, 1413, 4553, 13659, 40977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40977 is composite. Its prime factorisation is
- 3
The divisors add up to 61620; without 40977 itself that is 20643, so 40977 is deficient (20643 is less than 40977). Euler's totient φ(40977) = 26208 numbers up to 40977 share no factor with it.
- 4
The digits of 40977 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40977 = 3^{2} \times 29 \times 157 \]40977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61620 |
| Euler totient φ(n) | 26208 |
| Square | 1679114529 |
| Cube | 68805076054833 |
| Square root | 202.427765 (= 3√4553) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0977 × |
40977 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-seven |
| Binary (base 2) | 1010000000010001 |
| Octal (base 8) | 120021 |
| Hexadecimal (base 16) | A011 |
| Base 3 | 2002012200 |
| As time | 40977 seconds = 11 h 22 min 57 s |
Is 40977 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 (40977 ÷ 3 = 13659) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40977 ÷ 9 = 4553) | 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 2) | 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 40977 a prime number?
No. 40977 = × 29 × 157, so it is divisible by 3.
What are the factors of 40977?
1, 3, 9, 29, 87, 157, 261, 471, 1413, 4553, 13659, 40977.
What is 40977 in binary?
1010000000010001 (hexadecimal A011, octal 120021).
What is the square root of 40977?
About 202.4278, exactly 3√4553.
Is 40977 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 40977?
It is a composite number with 12 divisors.