8,045,304

2³ × 3 × 335221

8,045,304 factors as 2^3 × 3 × 335221. Its 16 positive divisors give a proper-divisor sum of 12,068,016, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 335221

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,113,320

Proper Divisor Sum 12,068,016

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8045287 ← → #8045321

Radix Representation

Decimal	8045304
Binary	11110101100001011111000 (23 bits)
Octal	0o36541370
Hexadecimal	0x7AC2F8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 335,221 670,442 1,005,663 1,340,884 2,011,326 2,681,768 4,022,652 8,045,304

Collatz Trajectory (93 steps to reach 1)

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

8,045,304 4,022,652 2,011,326 1,005,663 3,016,990 1,508,495 4,525,486 2,262,743 6,788,230 3,394,115 10,182,346 5,091,173 15,273,520 7,636,760 3,818,380 1,909,190 954,595 2,863,786 1,431,893 4,295,680 2,147,840 1,073,920 536,960 268,480 134,240 67,120 33,560 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238

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