The number 4131
4131 is a composite number with 12 divisors. Its prime factorisation is × 17. Divisors (12): 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4131: a Harshad number: divisible by its digit sum 9.
- 2
4131 is composite. Its prime factorisation is
- 3
The divisors add up to 6552; without 4131 itself that is 2421, so 4131 is deficient (2421 is less than 4131). Euler's totient φ(4131) = 2592 numbers up to 4131 share no factor with it.
- 4
The digits of 4131 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4131 = 3^{5} \times 17 \]4131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6552 |
| Euler totient φ(n) | 2592 |
| Square | 17065161 |
| Cube | 70496180091 |
| Square root | 64.272856 (= 9√51) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.131 × |
4131 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-one |
| Binary (base 2) | 1000000100011 |
| Octal (base 8) | 10043 |
| Hexadecimal (base 16) | 1023 |
| Base 3 | 12200000 |
| As time | 4131 seconds = 1 h 8 min 51 s |
Is 4131 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 | Yes (4131 ÷ 3 = 1377) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (4131 ÷ 9 = 459) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4131 a prime number?
No. 4131 = × 17, so it is divisible by 3.
What are the factors of 4131?
1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131.
What is 4131 in binary?
1000000100011 (hexadecimal 1023, octal 10043).
What is the square root of 4131?
About 64.2729, exactly 9√51.
Is 4131 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 4131?
4131 is a Harshad number: divisible by its digit sum 9.