The number 4745
4745 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 73. Divisors (8): 1, 5, 13, 65, 73, 365, 949, 4745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4745 is composite. Its prime factorisation is
- 3
The divisors add up to 6216; without 4745 itself that is 1471, so 4745 is deficient (1471 is less than 4745). Euler's totient φ(4745) = 3456 numbers up to 4745 share no factor with it.
- 4
The digits of 4745 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4745 = 5 \times 13 \times 73 \]
4745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6216 |
| Euler totient φ(n) | 3456 |
| Square | 22515025 |
| Cube | 106833793625 |
| Square root | 68.883960 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 4.745 × |
4745 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and forty-five |
| Binary (base 2) | 1001010001001 |
| Octal (base 8) | 11211 |
| Hexadecimal (base 16) | 1289 |
| Base 3 | 20111202 |
| As time | 4745 seconds = 1 h 19 min 5 s |
Is 4745 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 2) | 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 | Yes (4745 ÷ 5 = 949) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4745 a prime number?
No. 4745 = 5 × 13 × 73, so it is divisible by 5.
What are the factors of 4745?
1, 5, 13, 65, 73, 365, 949, 4745.
What is 4745 in binary?
1001010001001 (hexadecimal 1289, octal 11211).
What is the square root of 4745?
About 68.8840.
Is 4745 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4745?
It is a composite number with 8 divisors.