The number 7441
7441 is a composite number with 4 divisors. Its prime factorisation is 7 × 1063. Divisors (4): 1, 7, 1063, 7441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7441: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1063, the product of two primes.
- 2
7441 is composite. Its prime factorisation is
- 3
The divisors add up to 8512; without 7441 itself that is 1071, so 7441 is deficient (1071 is less than 7441). Euler's totient φ(7441) = 6372 numbers up to 7441 share no factor with it.
- 4
The digits of 7441 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7441 = 7 \times 1063 \]
7441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8512 |
| Euler totient φ(n) | 6372 |
| Square | 55368481 |
| Cube | 411996867121 |
| Square root | 86.261231 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.441 × |
7441 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and forty-one |
| Binary (base 2) | 1110100010001 |
| Octal (base 8) | 16421 |
| Hexadecimal (base 16) | 1D11 |
| Base 3 | 101012121 |
| As time | 7441 seconds = 2 h 4 min 1 s |
Is 7441 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7441 ÷ 7 = 1063) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7441 a prime number?
No. 7441 = 7 × 1063, so it is divisible by 7.
What are the factors of 7441?
1, 7, 1063, 7441.
What is 7441 in binary?
1110100010001 (hexadecimal 1D11, octal 16421).
What is the square root of 7441?
About 86.2612.
Is 7441 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7441?
7441 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 1063, the product of two primes.