The number 30498
30498 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 17 × 23. Divisors (32): 1, 2, 3, 6, 13, 17, 23, 26, 34, 39, 46, 51, 69, 78, 102, 138 … 30498.
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How to work it out
- 1
30498 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30498 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 30498 itself that is 42078, so 30498 is abundant (42078 is more than 30498). Euler's totient φ(30498) = 8448 numbers up to 30498 share no factor with it.
- 4
The digits of 30498 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30498 = 2 \times 3 \times 13 \times 17 \times 23 \]
30498 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 8448 |
| Square | 930128004 |
| Cube | 28367043865992 |
| Square root | 174.636766 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.0498 × |
30498 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and ninety-eight |
| Binary (base 2) | 111011100100010 |
| Octal (base 8) | 73442 |
| Hexadecimal (base 16) | 7722 |
| Base 3 | 1112211120 |
| As time | 30498 seconds = 8 h 28 min 18 s |
Is 30498 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30498 ÷ 2 = 15249) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30498 ÷ 3 = 10166) | 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 (30498 ÷ 6 = 5083) | 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 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 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 30498 a prime number?
No. 30498 = 2 × 3 × 13 × 17 × 23, so it is divisible by 2.
What are the factors of 30498?
1, 2, 3, 6, 13, 17, 23, 26, 34, 39, 46, 51, 69, 78, 102, 138, 221, 299, 391, 442, 598, 663, 782, 897, 1173, 1326, 1794, 2346, 5083, 10166, 15249, 30498.
What is 30498 in binary?
111011100100010 (hexadecimal 7722, octal 73442).
What is the square root of 30498?
About 174.6368.
Is 30498 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 30498?
It is a composite number with 32 divisors.