The number 36448
36448 is a composite number with 24 divisors. Its prime factorisation is × 17 × 67. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 67, 68, 134, 136, 268, 272, 536, 544 … 36448.
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How to work it out
- 1
36448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36448 is composite. Its prime factorisation is
- 3
The divisors add up to 77112; without 36448 itself that is 40664, so 36448 is abundant (40664 is more than 36448). Euler's totient φ(36448) = 16896 numbers up to 36448 share no factor with it.
- 4
The digits of 36448 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36448 = 2^{5} \times 17 \times 67 \]36448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 77112 |
| Euler totient φ(n) | 16896 |
| Square | 1328456704 |
| Cube | 48419589947392 |
| Square root | 190.913593 (= 4√2278) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6448 × |
36448 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand four hundred and forty-eight |
| Binary (base 2) | 1000111001100000 |
| Octal (base 8) | 107140 |
| Hexadecimal (base 16) | 8E60 |
| Base 3 | 1211222221 |
| As time | 36448 seconds = 10 h 7 min 28 s |
Is 36448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36448 ÷ 2 = 18224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36448 ÷ 4 = 9112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (36448 ÷ 8 = 4556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36448 a prime number?
No. 36448 = × 17 × 67, so it is divisible by 2.
What are the factors of 36448?
1, 2, 4, 8, 16, 17, 32, 34, 67, 68, 134, 136, 268, 272, 536, 544, 1072, 1139, 2144, 2278, 4556, 9112, 18224, 36448.
What is 36448 in binary?
1000111001100000 (hexadecimal 8E60, octal 107140).
What is the square root of 36448?
About 190.9136, exactly 4√2278.
Is 36448 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 36448?
It is a composite number with 24 divisors.