8,221,382

2 × 13 × 181 × 1747

8,221,382 is even and not a perfect square. Its factorization is 2 × 13 × 181 × 1747 and its 16 divisors sum to 13,361,712.

Prime Factor Structure

Factorization String 2 × 13 × 181 × 1747

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,361,712

Proper Divisor Sum 5,140,330

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8221349 ← → #8221391

Radix Representation

Decimal	8221382
Binary	11111010111001011000110 (23 bits)
Octal	0o37271306
Hexadecimal	0x7D72C6

Divisor Catalog (16)

1 2 13 26 181 362 1,747 2,353 3,494 4,706 22,711 45,422 316,207 632,414 4,110,691 8,221,382

Collatz Trajectory (199 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,221,382 4,110,691 12,332,074 6,166,037 18,498,112 9,249,056 4,624,528 2,312,264 1,156,132 578,066 289,033 867,100 433,550 216,775 650,326 325,163 975,490 487,745 1,463,236 731,618 365,809 1,097,428 548,714 274,357 823,072 411,536 205,768 102,884 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693

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