The number 74743
74743 is a composite number with 4 divisors. Its prime factorisation is 41 × 1823. Divisors (4): 1, 41, 1823, 74743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74743: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1823, the product of two primes.
- 2
74743 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 74743 itself that is 1865, so 74743 is deficient (1865 is less than 74743). Euler's totient φ(74743) = 72880 numbers up to 74743 share no factor with it.
- 4
The digits of 74743 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
\[ 74743 = 41 \times 1823 \]
74743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 72880 |
| Square | 5586516049 |
| Cube | 417552969050407 |
| Square root | 273.391660 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4743 × |
74743 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and forty-three |
| Binary (base 2) | 10010001111110111 |
| Octal (base 8) | 221767 |
| Hexadecimal (base 16) | 123F7 |
| Base 3 | 10210112021 |
| As time | 74743 seconds = 20 h 45 min 43 s |
Is 74743 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 4) | 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 7) | 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 9) | 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 74743 a prime number?
No. 74743 = 41 × 1823, so it is divisible by 41.
What are the factors of 74743?
1, 41, 1823, 74743.
What is 74743 in binary?
10010001111110111 (hexadecimal 123F7, octal 221767).
What is the square root of 74743?
About 273.3917.
Is 74743 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74743?
74743 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 1823, the product of two primes.