Welcome to use the Sphenic Number Calculator, which can quickly help you check if a number is a sphenic number.
What is a sphenic number?
A sphenic number is a positive integer that can be represented by the product of 3 different prime numbers.
For example, Is 42 a sphenic number?
Through the prime factorization calculator, we can get that the prime factorization of 42 is
42 = 2 * 3 * 7
Among them, 2, 3, and 7 are three different prime numbers. So, 42 is a sphenic number.
For another example, Is 44 a sphenic number?
Doing the same, we can get the prime factorization of 44 is
44 = 2 * 2 * 11
where the prime number 2 is repeated. So, 44 is not a sphenic number.
First 100 sphenic numbers
30 | 42 | 66 | 70 | 78 | 102 | 105 | 110 | 114 | 130 |
138 | 154 | 165 | 170 | 174 | 182 | 186 | 190 | 195 | 222 |
230 | 231 | 238 | 246 | 255 | 258 | 266 | 273 | 282 | 285 |
286 | 290 | 310 | 318 | 322 | 345 | 354 | 357 | 366 | 370 |
374 | 385 | 399 | 402 | 406 | 410 | 418 | 426 | 429 | 430 |
434 | 435 | 438 | 442 | 455 | 465 | 470 | 474 | 483 | 494 |
498 | 506 | 518 | 530 | 534 | 555 | 561 | 574 | 582 | 590 |
595 | 598 | 602 | 606 | 609 | 610 | 615 | 618 | 627 | 638 |
642 | 645 | 646 | 651 | 654 | 658 | 663 | 665 | 670 | 678 |
682 | 705 | 710 | 715 | 730 | 741 | 742 | 754 | 759 | 762 |
How to use the sphenic number calculator
The procedure to use the sphenic number calculator is as follows:
- Enter the positive integer.
- Click Calculate button to verify whether the input number is a sphenic number.
- Click the Reset button to start a new verification.
Solved examples using the sphenic number calculator
Example 1: Is 60 a sphenic number?
Enter 60 into the input box and click Calculate button, as shown in the figure, 60 is not a sphenic number.
The prime factorization of 60 is
60 = 2 * 2 * 3 * 5 = 22 * 3 * 5
Among them, 2 is repeated. So, 60 is not a sphenic number.
Example 2: Is 1030 a sphenic number?
Enter 1030 into the input box and click Calculate button, as shown in the figure, 1030 is not a sphenic number.
The prime factorization of 1030 is
1030 = 2 * 5 * 103
In here, 2, 5 and 103 are all prime numbers. So, 1030 is a sphenic number.
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