The number 4149
4149 is a composite number with 6 divisors. Its prime factorisation is × 461. Divisors (6): 1, 3, 9, 461, 1383, 4149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4149 is composite. Its prime factorisation is
- 3
The divisors add up to 6006; without 4149 itself that is 1857, so 4149 is deficient (1857 is less than 4149). Euler's totient φ(4149) = 2760 numbers up to 4149 share no factor with it.
- 4
The digits of 4149 add up to 18, 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
\[ 4149 = 3^{2} \times 461 \]4149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6006 |
| Euler totient φ(n) | 2760 |
| Square | 17214201 |
| Cube | 71421719949 |
| Square root | 64.412732 (= 3√461) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.149 × |
4149 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-nine |
| Binary (base 2) | 1000000110101 |
| Octal (base 8) | 10065 |
| Hexadecimal (base 16) | 1035 |
| Base 3 | 12200200 |
| As time | 4149 seconds = 1 h 9 min 9 s |
Is 4149 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 (4149 ÷ 3 = 1383) | 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4149 ÷ 9 = 461) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4149 a prime number?
No. 4149 = × 461, so it is divisible by 3.
What are the factors of 4149?
1, 3, 9, 461, 1383, 4149.
What is 4149 in binary?
1000000110101 (hexadecimal 1035, octal 10065).
What is the square root of 4149?
About 64.4127, exactly 3√461.
Is 4149 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4149?
It is a composite number with 6 divisors.