The number 77443
77443 is a composite number with 4 divisors. Its prime factorisation is 43 × 1801. Divisors (4): 1, 43, 1801, 77443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77443: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1801, the product of two primes.
- 2
77443 is composite. Its prime factorisation is
- 3
The divisors add up to 79288; without 77443 itself that is 1845, so 77443 is deficient (1845 is less than 77443). Euler's totient φ(77443) = 75600 numbers up to 77443 share no factor with it.
- 4
The digits of 77443 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77443 = 43 \times 1801 \]
77443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 79288 |
| Euler totient φ(n) | 75600 |
| Square | 5997418249 |
| Cube | 464458061457307 |
| Square root | 278.285824 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7443 × |
77443 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and forty-three |
| Binary (base 2) | 10010111010000011 |
| Octal (base 8) | 227203 |
| Hexadecimal (base 16) | 12E83 |
| Base 3 | 10221020021 |
| As time | 77443 seconds = 21 h 30 min 43 s |
Is 77443 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77443 a prime number?
No. 77443 = 43 × 1801, so it is divisible by 43.
What are the factors of 77443?
1, 43, 1801, 77443.
What is 77443 in binary?
10010111010000011 (hexadecimal 12E83, octal 227203).
What is the square root of 77443?
About 278.2858.
Is 77443 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77443?
77443 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 43 × 1801, the product of two primes.