The number 7446
7446 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 73. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7446 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7446 is composite. Its prime factorisation is
- 3
The divisors add up to 15984; without 7446 itself that is 8538, so 7446 is abundant (8538 is more than 7446). Euler's totient φ(7446) = 2304 numbers up to 7446 share no factor with it.
- 4
The digits of 7446 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7446 = 2 \times 3 \times 17 \times 73 \]
7446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15984 |
| Euler totient φ(n) | 2304 |
| Square | 55442916 |
| Cube | 412827952536 |
| Square root | 86.290208 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.446 × |
7446 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and forty-six |
| Binary (base 2) | 1110100010110 |
| Octal (base 8) | 16426 |
| Hexadecimal (base 16) | 1D16 |
| Base 3 | 101012210 |
| As time | 7446 seconds = 2 h 4 min 6 s |
Is 7446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7446 ÷ 2 = 3723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7446 ÷ 3 = 2482) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7446 ÷ 6 = 1241) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7446 a prime number?
No. 7446 = 2 × 3 × 17 × 73, so it is divisible by 2.
What are the factors of 7446?
1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446.
What is 7446 in binary?
1110100010110 (hexadecimal 1D16, octal 16426).
What is the square root of 7446?
About 86.2902.
Is 7446 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7446?
It is a composite number with 16 divisors.