The number 40677
40677 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 13 × 149. Divisors (16): 1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559, 40677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40677 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40677 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 40677 itself that is 26523, so 40677 is deficient (26523 is less than 40677). Euler's totient φ(40677) = 21312 numbers up to 40677 share no factor with it.
- 4
The digits of 40677 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40677 = 3 \times 7 \times 13 \times 149 \]
40677 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 21312 |
| Square | 1654618329 |
| Cube | 67304909768733 |
| Square root | 201.685399 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0677 × |
40677 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and seventy-seven |
| Binary (base 2) | 1001111011100101 |
| Octal (base 8) | 117345 |
| Hexadecimal (base 16) | 9EE5 |
| Base 3 | 2001210120 |
| As time | 40677 seconds = 11 h 17 min 57 s |
Is 40677 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 (40677 ÷ 3 = 13559) | 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 | Yes (40677 ÷ 7 = 5811) | 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 | No (remainder 6) | 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 10) | 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 40677 a prime number?
No. 40677 = 3 × 7 × 13 × 149, so it is divisible by 3.
What are the factors of 40677?
1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559, 40677.
What is 40677 in binary?
1001111011100101 (hexadecimal 9EE5, octal 117345).
What is the square root of 40677?
About 201.6854.
Is 40677 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 40677?
It is a composite number with 16 divisors.