The number 4741
4741 is a composite number with 4 divisors. Its prime factorisation is 11 × 431. Divisors (4): 1, 11, 431, 4741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 431, the product of two primes.
- 2
4741 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 4741 itself that is 443, so 4741 is deficient (443 is less than 4741). Euler's totient φ(4741) = 4300 numbers up to 4741 share no factor with it.
- 4
The digits of 4741 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4741 = 11 \times 431 \]
4741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 4300 |
| Square | 22477081 |
| Cube | 106563841021 |
| Square root | 68.854920 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 4.741 × |
4741 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-one |
| Binary (base 2) | 1001010000101 |
| Octal (base 8) | 11205 |
| Hexadecimal (base 16) | 1285 |
| Base 3 | 20111121 |
| As time | 4741 seconds = 1 h 19 min 1 s |
Is 4741 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4741 ÷ 11 = 431) | 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 4741 a prime number?
No. 4741 = 11 × 431, so it is divisible by 11.
What are the factors of 4741?
1, 11, 431, 4741.
What is 4741 in binary?
1001010000101 (hexadecimal 1285, octal 11205).
What is the square root of 4741?
About 68.8549.
Is 4741 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4741?
4741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 431, the product of two primes.