The number 4807
4807 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 23. Divisors (8): 1, 11, 19, 23, 209, 253, 437, 4807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4807: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
4807 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 4807 itself that is 953, so 4807 is deficient (953 is less than 4807). Euler's totient φ(4807) = 3960 numbers up to 4807 share no factor with it.
- 4
The digits of 4807 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4807 = 11 \times 19 \times 23 \]
4807 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 3960 |
| Square | 23107249 |
| Cube | 111076545943 |
| Square root | 69.332532 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.807 × |
4807 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and seven |
| Binary (base 2) | 1001011000111 |
| Octal (base 8) | 11307 |
| Hexadecimal (base 16) | 12C7 |
| Base 3 | 20121001 |
| As time | 4807 seconds = 1 h 20 min 7 s |
Is 4807 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 2) | 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 5) | 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 1) | 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 | Yes (4807 ÷ 11 = 437) | 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 4807 a prime number?
No. 4807 = 11 × 19 × 23, so it is divisible by 11.
What are the factors of 4807?
1, 11, 19, 23, 209, 253, 437, 4807.
What is 4807 in binary?
1001011000111 (hexadecimal 12C7, octal 11307).
What is the square root of 4807?
About 69.3325.
Is 4807 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4807?
4807 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.