The number 7390
7390 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 739. Divisors (8): 1, 2, 5, 10, 739, 1478, 3695, 7390.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7390: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7390 is composite. Its prime factorisation is
- 3
The divisors add up to 13320; without 7390 itself that is 5930, so 7390 is deficient (5930 is less than 7390). Euler's totient φ(7390) = 2952 numbers up to 7390 share no factor with it.
- 4
The digits of 7390 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 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7390 = 2 \times 5 \times 739 \]
7390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13320 |
| Euler totient φ(n) | 2952 |
| Square | 54612100 |
| Cube | 403583419000 |
| Square root | 85.965109 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 207 |
| Scientific notation | 7.39 × |
7390 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and ninety |
| Binary (base 2) | 1110011011110 |
| Octal (base 8) | 16336 |
| Hexadecimal (base 16) | 1CDE |
| Base 3 | 101010201 |
| As time | 7390 seconds = 2 h 3 min 10 s |
Is 7390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7390 ÷ 2 = 3695) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7390 ÷ 5 = 1478) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7390 ÷ 10 = 739) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7390 a prime number?
No. 7390 = 2 × 5 × 739, so it is divisible by 2.
What are the factors of 7390?
1, 2, 5, 10, 739, 1478, 3695, 7390.
What is 7390 in binary?
1110011011110 (hexadecimal 1CDE, octal 16336).
What is the square root of 7390?
About 85.9651.
Is 7390 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7390?
7390 is a happy number: repeatedly adding the squares of its digits reaches 1.