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Ratio Atlas
Atlas › Integer Profiles › Node 3,972,672
3,972,672
26 × 33 × 112 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^3 × 11^2 × 19
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 13,512,800
Proper Divisor Sum 9,540,128
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3972671 ← → #3972697

Radix Representation

Decimal 3972672
Binary 1111001001111001000000 (22 bits)
Octal 0o17117100
Hexadecimal 0x3C9E40

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 96 99 108 114 121 132 144 152 171 176 192 198 209 216 228 242 264 288 297 304 342 352 363 396 418 432 456 484 513 528 576 594

Collatz Trajectory (154 steps to reach 1)

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

3,972,672 1,986,336 993,168 496,584 248,292 124,146 62,073 186,220 93,110 46,555 139,666 69,833 209,500 104,750 52,375 157,126 78,563 235,690 117,845 353,536 176,768 88,384 44,192 22,096 11,048 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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