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3,607,680

27 × 3 × 5 × 1879
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 1879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,505,600
Proper Divisor Sum 7,897,920
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3607649 ← → #3607691

Radix Representation

Decimal 3607680
Binary 1101110000110010000000 (22 bits)
Octal 0o15606200
Hexadecimal 0x370C80

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1,879 1,920 3,758 5,637 7,516 9,395 11,274 15,032 18,790 22,548 28,185 30,064 37,580 45,096 56,370 60,128 75,160 90,192 112,740 120,256 150,320 180,384 225,480 240,512 300,640 360,768 450,960 601,280 721,536

Collatz Trajectory (66 steps to reach 1)

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

3,607,680 1,803,840 901,920 450,960 225,480 112,740 56,370 28,185 84,556 42,278 21,139 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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