The number 40377
40377 is a binary palindrome (1001110110111001). Its prime factorisation is 3 × 43 × 313. Divisors (8): 1, 3, 43, 129, 313, 939, 13459, 40377.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40377: a binary palindrome (1001110110111001).
- 2
40377 is composite. Its prime factorisation is
- 3
The divisors add up to 55264; without 40377 itself that is 14887, so 40377 is deficient (14887 is less than 40377). Euler's totient φ(40377) = 26208 numbers up to 40377 share no factor with it.
- 4
The digits of 40377 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40377 = 3 \times 43 \times 313 \]
40377 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55264 |
| Euler totient φ(n) | 26208 |
| Square | 1630302129 |
| Cube | 65826709062633 |
| Square root | 200.940290 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0377 × |
40377 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy-seven |
| Binary (base 2) | 1001110110111001 |
| Octal (base 8) | 116671 |
| Hexadecimal (base 16) | 9DB9 |
| Base 3 | 2001101110 |
| As time | 40377 seconds = 11 h 12 min 57 s |
Is 40377 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 (40377 ÷ 3 = 13459) | 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 1) | 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 | No (remainder 3) | 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 7) | 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 40377 a prime number?
No. 40377 = 3 × 43 × 313, so it is divisible by 3.
What are the factors of 40377?
1, 3, 43, 129, 313, 939, 13459, 40377.
What is 40377 in binary?
1001110110111001 (hexadecimal 9DB9, octal 116671).
What is the square root of 40377?
About 200.9403.
Is 40377 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40377?
40377 is a binary palindrome (1001110110111001).