The number 40477
40477 is a composite number with 4 divisors. Its prime factorisation is 17 × 2381. Divisors (4): 1, 17, 2381, 40477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40477: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 2381, the product of two primes.
- 2
40477 is composite. Its prime factorisation is
- 3
The divisors add up to 42876; without 40477 itself that is 2399, so 40477 is deficient (2399 is less than 40477). Euler's totient φ(40477) = 38080 numbers up to 40477 share no factor with it.
- 4
The digits of 40477 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40477 = 17 \times 2381 \]
40477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42876 |
| Euler totient φ(n) | 38080 |
| Square | 1638387529 |
| Cube | 66317012011333 |
| Square root | 201.188966 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0477 × |
40477 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and seventy-seven |
| Binary (base 2) | 1001111000011101 |
| Octal (base 8) | 117035 |
| Hexadecimal (base 16) | 9E1D |
| Base 3 | 2001112011 |
| As time | 40477 seconds = 11 h 14 min 37 s |
Is 40477 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40477 a prime number?
No. 40477 = 17 × 2381, so it is divisible by 17.
What are the factors of 40477?
1, 17, 2381, 40477.
What is 40477 in binary?
1001111000011101 (hexadecimal 9E1D, octal 117035).
What is the square root of 40477?
About 201.1890.
Is 40477 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40477?
40477 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 17 × 2381, the product of two primes.