2³ × 3⁵ × 5 × 11 × 347

Prime Factor Structure

Factorization String 2^3 × 3^5 × 5 × 11 × 347

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 136,805,760

Proper Divisor Sum 99,704,520

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #37101223 ← → #37101241

Radix Representation

Decimal	37101240
Binary	10001101100001111010111000 (26 bits)
Octal	0o215417270
Hexadecimal	0x2361EB8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 243 264 270 297 324 330 347 360 396 405 440 486 495 540 594 648 660

Collatz Trajectory (196 steps to reach 1)

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

37,101,240 18,550,620 9,275,310 4,637,655 13,912,966 6,956,483 20,869,450 10,434,725 31,304,176 15,652,088 7,826,044 3,913,022 1,956,511 5,869,534 2,934,767 8,804,302 4,402,151 13,206,454 6,603,227 19,809,682 9,904,841 29,714,524 14,857,262 7,428,631 22,285,894 11,142,947 33,428,842 16,714,421 50,143,264 25,071,632 12,535,816 6,267,908 3,133,954 1,566,977 4,700,932 2,350,466 1,175,233 3,525,700 1,762,850 881,425 2,644,276 1,322,138 661,069 1,983,208 991,604 495,802 247,901 743,704 371,852 185,926 92,963 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220

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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