The number 40149
40149 is a composite number with 8 divisors. Its prime factorisation is × 1487. Divisors (8): 1, 3, 9, 27, 1487, 4461, 13383, 40149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40149 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40149 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 40149 itself that is 19371, so 40149 is deficient (19371 is less than 40149). Euler's totient φ(40149) = 26748 numbers up to 40149 share no factor with it.
- 4
The digits of 40149 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40149 = 3^{3} \times 1487 \]40149 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 26748 |
| Square | 1611942201 |
| Cube | 64717867427949 |
| Square root | 200.372154 (= 3√4461) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0149 × |
40149 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and forty-nine |
| Binary (base 2) | 1001110011010101 |
| Octal (base 8) | 116325 |
| Hexadecimal (base 16) | 9CD5 |
| Base 3 | 2001002000 |
| As time | 40149 seconds = 11 h 9 min 9 s |
Is 40149 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 (40149 ÷ 3 = 13383) | 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 4) | 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 (40149 ÷ 9 = 4461) | 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 10) | 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 40149 a prime number?
No. 40149 = × 1487, so it is divisible by 3.
What are the factors of 40149?
1, 3, 9, 27, 1487, 4461, 13383, 40149.
What is 40149 in binary?
1001110011010101 (hexadecimal 9CD5, octal 116325).
What is the square root of 40149?
About 200.3722, exactly 3√4461.
Is 40149 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40149?
It is a composite number with 8 divisors.