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Sphenic Number Calculator

Welcome to use the Sphenic Number Calculator, which can quickly help you check if a number is a sphenic number.

Sphenic Number Calculator

Eg, Is 42 a sphenic number? Enter 42 into the input box and click Calculate button.

Calculate Reset

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:

  • 1Enter the positive integer.
  • 2Click Calculate button to verify whether the input number is a sphenic number.
  • 3Click 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.

Is 60 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.

Is 1030 a sphenic number

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