The number 7398
7398 is a composite number with 16 divisors. Its prime factorisation is 2 × × 137. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398.
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How to work it out
- 1
What is special about 7398: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
7398 is composite. Its prime factorisation is
- 3
The divisors add up to 16560; without 7398 itself that is 9162, so 7398 is abundant (9162 is more than 7398). Euler's totient φ(7398) = 2448 numbers up to 7398 share no factor with it.
- 4
The digits of 7398 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7398 = 2 \times 3^{3} \times 137 \]7398 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16560 |
| Euler totient φ(n) | 2448 |
| Square | 54730404 |
| Cube | 404895528792 |
| Square root | 86.011627 (= 3√822) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.398 × |
7398 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and ninety-eight |
| Binary (base 2) | 1110011100110 |
| Octal (base 8) | 16346 |
| Hexadecimal (base 16) | 1CE6 |
| Base 3 | 101011000 |
| As time | 7398 seconds = 2 h 3 min 18 s |
Is 7398 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7398 ÷ 2 = 3699) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7398 ÷ 3 = 2466) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7398 ÷ 6 = 1233) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (7398 ÷ 9 = 822) | 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 6) | 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 7398 a prime number?
No. 7398 = 2 × × 137, so it is divisible by 2.
What are the factors of 7398?
1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398.
What is 7398 in binary?
1110011100110 (hexadecimal 1CE6, octal 16346).
What is the square root of 7398?
About 86.0116, exactly 3√822.
Is 7398 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 7398?
7398 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.