The number 40449
40449 is a composite number with 8 divisors. Its prime factorisation is 3 × 97 × 139. Divisors (8): 1, 3, 97, 139, 291, 417, 13483, 40449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40449: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40449 is composite. Its prime factorisation is
- 3
The divisors add up to 54880; without 40449 itself that is 14431, so 40449 is deficient (14431 is less than 40449). Euler's totient φ(40449) = 26496 numbers up to 40449 share no factor with it.
- 4
The digits of 40449 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40449 = 3 \times 97 \times 139 \]
40449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54880 |
| Euler totient φ(n) | 26496 |
| Square | 1636121601 |
| Cube | 66179482638849 |
| Square root | 201.119368 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0449 × |
40449 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-nine |
| Binary (base 2) | 1001111000000001 |
| Octal (base 8) | 117001 |
| Hexadecimal (base 16) | 9E01 |
| Base 3 | 2001111010 |
| As time | 40449 seconds = 11 h 14 min 9 s |
Is 40449 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 (40449 ÷ 3 = 13483) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 40449 a prime number?
No. 40449 = 3 × 97 × 139, so it is divisible by 3.
What are the factors of 40449?
1, 3, 97, 139, 291, 417, 13483, 40449.
What is 40449 in binary?
1001111000000001 (hexadecimal 9E01, octal 117001).
What is the square root of 40449?
About 201.1194.
Is 40449 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40449?
40449 is a happy number: repeatedly adding the squares of its digits reaches 1.