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9,603,630

2 × 33 × 5 × 35569
Abundant Even Composite

9,603,630 factors as 2 × 3^3 × 5 × 35569. Its 32 positive divisors give a proper-divisor sum of 16,006,770, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 35569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,610,400
Proper Divisor Sum 16,006,770
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9603619 ← → #9603637

Radix Representation

Decimal 9603630
Binary 100100101000101000101110 (24 bits)
Octal 0o44505056
Hexadecimal 0x928A2E

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 35,569 71,138 106,707 177,845 213,414 320,121 355,690 533,535 640,242 960,363 1,067,070 1,600,605 1,920,726 3,201,210 4,801,815 9,603,630

Collatz Trajectory (93 steps to reach 1)

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

9,603,630 4,801,815 14,405,446 7,202,723 21,608,170 10,804,085 32,412,256 16,206,128 8,103,064 4,051,532 2,025,766 1,012,883 3,038,650 1,519,325 4,557,976 2,278,988 1,139,494 569,747 1,709,242 854,621 2,563,864 1,281,932 640,966 320,483 961,450 480,725 1,442,176 721,088 360,544 180,272 90,136 45,068 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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