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7,201,872

24 × 34 × 5557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5557
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 20,848,058
Proper Divisor Sum 13,646,186
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7201871 ← → #7201919

Radix Representation

Decimal 7201872
Binary 11011011110010001010000 (23 bits)
Octal 0o33362120
Hexadecimal 0x6DE450

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1,296 5,557 11,114 16,671 22,228 33,342 44,456 50,013 66,684 88,912 100,026 133,368 150,039 200,052 266,736 300,078 400,104 450,117 600,156 800,208 900,234 1,200,312 1,800,468 2,400,624 3,600,936 7,201,872

Collatz Trajectory (90 steps to reach 1)

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

7,201,872 3,600,936 1,800,468 900,234 450,117 1,350,352 675,176 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 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 1,694 847 2,542 1,271

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