2² × 3² × 5 × 7 × 109

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 7 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 480,480

Proper Divisor Sum 343,140

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #137339 ← → #137341

Radix Representation

Decimal	137340
Binary	100001100001111100 (18 bits)
Octal	0o414174
Hexadecimal	0x2187C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1,090 1,260 1,308 1,526 1,635 1,962 2,180 2,289 3,052 3,270 3,815 3,924 4,578 4,905 6,540 6,867 7,630

Collatz Trajectory (113 steps to reach 1)

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

137,340 68,670 34,335 103,006 51,503 154,510 77,255 231,766 115,883 347,650 173,825 521,476 260,738 130,369 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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