The number 43977
43977 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 137. Divisors (8): 1, 3, 107, 137, 321, 411, 14659, 43977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43977 is composite. Its prime factorisation is
- 3
The divisors add up to 59616; without 43977 itself that is 15639, so 43977 is deficient (15639 is less than 43977). Euler's totient φ(43977) = 28832 numbers up to 43977 share no factor with it.
- 4
The digits of 43977 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43977 = 3 \times 107 \times 137 \]
43977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59616 |
| Euler totient φ(n) | 28832 |
| Square | 1933976529 |
| Cube | 85050485815833 |
| Square root | 209.706938 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3977 × |
43977 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and seventy-seven |
| Binary (base 2) | 1010101111001001 |
| Octal (base 8) | 125711 |
| Hexadecimal (base 16) | ABC9 |
| Base 3 | 2020022210 |
| As time | 43977 seconds = 12 h 12 min 57 s |
Is 43977 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 (43977 ÷ 3 = 14659) | 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 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 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 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 43977 a prime number?
No. 43977 = 3 × 107 × 137, so it is divisible by 3.
What are the factors of 43977?
1, 3, 107, 137, 321, 411, 14659, 43977.
What is 43977 in binary?
1010101111001001 (hexadecimal ABC9, octal 125711).
What is the square root of 43977?
About 209.7069.
Is 43977 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 43977?
It is a composite number with 8 divisors.