The number 3448
3448 is a composite number with 8 divisors. Its prime factorisation is × 431. Divisors (8): 1, 2, 4, 8, 431, 862, 1724, 3448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3448 is composite. Its prime factorisation is
- 3
The divisors add up to 6480; without 3448 itself that is 3032, so 3448 is deficient (3032 is less than 3448). Euler's totient φ(3448) = 1720 numbers up to 3448 share no factor with it.
- 4
The digits of 3448 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3448 = 2^{3} \times 431 \]3448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6480 |
| Euler totient φ(n) | 1720 |
| Square | 11888704 |
| Cube | 40992251392 |
| Square root | 58.719673 (= 2√862) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.448 × |
3448 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and forty-eight |
| Roman numerals | MMMCDXLVIII |
| Binary (base 2) | 110101111000 |
| Octal (base 8) | 6570 |
| Hexadecimal (base 16) | D78 |
| Base 3 | 11201201 |
| As time | 3448 seconds = 57 min 28 s |
Is 3448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3448 ÷ 2 = 1724) | 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 (3448 ÷ 4 = 862) | 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 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 | Yes (3448 ÷ 8 = 431) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3448 a prime number?
No. 3448 = × 431, so it is divisible by 2.
What are the factors of 3448?
1, 2, 4, 8, 431, 862, 1724, 3448.
What is 3448 in binary?
110101111000 (hexadecimal D78, octal 6570).
What is the square root of 3448?
About 58.7197, exactly 2√862.
What is 3448 in Roman numerals?
MMMCDXLVIII.
Is 3448 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3448?
It is a composite number with 8 divisors.