The number 4123
4123 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 31. Divisors (8): 1, 7, 19, 31, 133, 217, 589, 4123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4123 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4123 is composite. Its prime factorisation is
- 3
The divisors add up to 5120; without 4123 itself that is 997, so 4123 is deficient (997 is less than 4123). Euler's totient φ(4123) = 3240 numbers up to 4123 share no factor with it.
- 4
The digits of 4123 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4123 = 7 \times 19 \times 31 \]
4123 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5120 |
| Euler totient φ(n) | 3240 |
| Square | 16999129 |
| Cube | 70087408867 |
| Square root | 64.210591 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.123 × |
4123 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and twenty-three |
| Binary (base 2) | 1000000011011 |
| Octal (base 8) | 10033 |
| Hexadecimal (base 16) | 101B |
| Base 3 | 12122201 |
| As time | 4123 seconds = 1 h 8 min 43 s |
Is 4123 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 | Yes (4123 ÷ 7 = 589) | 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 1) | 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 4123 a prime number?
No. 4123 = 7 × 19 × 31, so it is divisible by 7.
What are the factors of 4123?
1, 7, 19, 31, 133, 217, 589, 4123.
What is 4123 in binary?
1000000011011 (hexadecimal 101B, octal 10033).
What is the square root of 4123?
About 64.2106.
Is 4123 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4123?
It is a composite number with 8 divisors.