The number 7444
7444 is a composite number with 6 divisors. Its prime factorisation is × 1861. Divisors (6): 1, 2, 4, 1861, 3722, 7444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7444 is composite. Its prime factorisation is
- 3
The divisors add up to 13034; without 7444 itself that is 5590, so 7444 is deficient (5590 is less than 7444). Euler's totient φ(7444) = 3720 numbers up to 7444 share no factor with it.
- 4
The digits of 7444 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7444 = 2^{2} \times 1861 \]7444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13034 |
| Euler totient φ(n) | 3720 |
| Square | 55413136 |
| Cube | 412495384384 |
| Square root | 86.278618 (= 2√1861) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.444 × |
7444 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and forty-four |
| Binary (base 2) | 1110100010100 |
| Octal (base 8) | 16424 |
| Hexadecimal (base 16) | 1D14 |
| Base 3 | 101012201 |
| As time | 7444 seconds = 2 h 4 min 4 s |
Is 7444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7444 ÷ 2 = 3722) | 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 (7444 ÷ 4 = 1861) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 7444 a prime number?
No. 7444 = × 1861, so it is divisible by 2.
What are the factors of 7444?
1, 2, 4, 1861, 3722, 7444.
What is 7444 in binary?
1110100010100 (hexadecimal 1D14, octal 16424).
What is the square root of 7444?
About 86.2786, exactly 2√1861.
Is 7444 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7444?
7444 is a happy number: repeatedly adding the squares of its digits reaches 1.