The number 46449
46449 is a composite number with 12 divisors. Its prime factorisation is × 13 × 397. Divisors (12): 1, 3, 9, 13, 39, 117, 397, 1191, 3573, 5161, 15483, 46449.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46449 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46449 is composite. Its prime factorisation is
- 3
The divisors add up to 72436; without 46449 itself that is 25987, so 46449 is deficient (25987 is less than 46449). Euler's totient φ(46449) = 28512 numbers up to 46449 share no factor with it.
- 4
The digits of 46449 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46449 = 3^{2} \times 13 \times 397 \]46449 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72436 |
| Euler totient φ(n) | 28512 |
| Square | 2157509601 |
| Cube | 100214163456849 |
| Square root | 215.520301 (= 3√5161) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6449 × |
46449 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty-nine |
| Binary (base 2) | 1011010101110001 |
| Octal (base 8) | 132561 |
| Hexadecimal (base 16) | B571 |
| Base 3 | 2100201100 |
| As time | 46449 seconds = 12 h 54 min 9 s |
Is 46449 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 (46449 ÷ 3 = 15483) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46449 ÷ 9 = 5161) | 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 7) | 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 46449 a prime number?
No. 46449 = × 13 × 397, so it is divisible by 3.
What are the factors of 46449?
1, 3, 9, 13, 39, 117, 397, 1191, 3573, 5161, 15483, 46449.
What is 46449 in binary?
1011010101110001 (hexadecimal B571, octal 132561).
What is the square root of 46449?
About 215.5203, exactly 3√5161.
Is 46449 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46449?
It is a composite number with 12 divisors.