The number 73098
73098 is a composite number with 24 divisors. Its prime factorisation is 2 × × 31 × 131. Divisors (24): 1, 2, 3, 6, 9, 18, 31, 62, 93, 131, 186, 262, 279, 393, 558, 786 … 73098.
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How to work it out
- 1
What is special about 73098: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73098 is composite. Its prime factorisation is
- 3
The divisors add up to 164736; without 73098 itself that is 91638, so 73098 is abundant (91638 is more than 73098). Euler's totient φ(73098) = 23400 numbers up to 73098 share no factor with it.
- 4
The digits of 73098 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73098 = 2 \times 3^{2} \times 31 \times 131 \]73098 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 164736 |
| Euler totient φ(n) | 23400 |
| Square | 5343317604 |
| Cube | 390585830217192 |
| Square root | 270.366418 (= 3√8122) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3098 × |
73098 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and ninety-eight |
| Binary (base 2) | 10001110110001010 |
| Octal (base 8) | 216612 |
| Hexadecimal (base 16) | 11D8A |
| Base 3 | 10201021100 |
| As time | 73098 seconds = 20 h 18 min 18 s |
Is 73098 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73098 ÷ 2 = 36549) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73098 ÷ 3 = 24366) | 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 (73098 ÷ 6 = 12183) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (73098 ÷ 9 = 8122) | 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 3) | 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 73098 a prime number?
No. 73098 = 2 × × 31 × 131, so it is divisible by 2.
What are the factors of 73098?
1, 2, 3, 6, 9, 18, 31, 62, 93, 131, 186, 262, 279, 393, 558, 786, 1179, 2358, 4061, 8122, 12183, 24366, 36549, 73098.
What is 73098 in binary?
10001110110001010 (hexadecimal 11D8A, octal 216612).
What is the square root of 73098?
About 270.3664, exactly 3√8122.
Is 73098 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73098?
73098 is a happy number: repeatedly adding the squares of its digits reaches 1.