2² × 3² × 5 × 7³

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 218,400

Proper Divisor Sum 156,660

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #61729 ← → #61751

Radix Representation

Decimal	61740
Binary	1111000100101100 (16 bits)
Octal	0o170454
Hexadecimal	0xF12C

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 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1,029 1,260 1,372 1,470 1,715 1,764 2,058 2,205 2,940 3,087 3,430

Collatz Trajectory (55 steps to reach 1)

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

61,740 30,870 15,435 46,306 23,153 69,460 34,730 17,365 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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