The number 73698
73698 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 71 × 173. Divisors (16): 1, 2, 3, 6, 71, 142, 173, 213, 346, 426, 519, 1038, 12283, 24566, 36849, 73698.
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How to work it out
- 1
What is special about 73698: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73698 is composite. Its prime factorisation is
- 3
The divisors add up to 150336; without 73698 itself that is 76638, so 73698 is abundant (76638 is more than 73698). Euler's totient φ(73698) = 24080 numbers up to 73698 share no factor with it.
- 4
The digits of 73698 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73698 = 2 \times 3 \times 71 \times 173 \]
73698 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 150336 |
| Euler totient φ(n) | 24080 |
| Square | 5431395204 |
| Cube | 400282963744392 |
| Square root | 271.473756 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3698 × |
73698 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and ninety-eight |
| Binary (base 2) | 10001111111100010 |
| Octal (base 8) | 217742 |
| Hexadecimal (base 16) | 11FE2 |
| Base 3 | 10202002120 |
| As time | 73698 seconds = 20 h 28 min 18 s |
Is 73698 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73698 ÷ 2 = 36849) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73698 ÷ 3 = 24566) | 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 (73698 ÷ 6 = 12283) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | 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 73698 a prime number?
No. 73698 = 2 × 3 × 71 × 173, so it is divisible by 2.
What are the factors of 73698?
1, 2, 3, 6, 71, 142, 173, 213, 346, 426, 519, 1038, 12283, 24566, 36849, 73698.
What is 73698 in binary?
10001111111100010 (hexadecimal 11FE2, octal 217742).
What is the square root of 73698?
About 271.4738.
Is 73698 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 73698?
73698 is a happy number: repeatedly adding the squares of its digits reaches 1.