2⁶ × 3 × 5 × 23 × 3061

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 23 × 3061

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 223,991,424

Proper Divisor Sum 156,404,544

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #67586839 ← → #67586891

Radix Representation

Decimal	67586880
Binary	100000001110100101101000000 (27 bits)
Octal	0o401645500
Hexadecimal	0x4074B40

Divisor Catalog (60 of 112)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1,104 1,380 1,472 1,840 2,208 2,760 3,061 3,680 4,416 5,520 6,122 7,360 9,183 11,040 12,244 15,305

Collatz Trajectory (78 steps to reach 1)

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

67,586,880 33,793,440 16,896,720 8,448,360 4,224,180 2,112,090 1,056,045 3,168,136 1,584,068 792,034 396,017 1,188,052 594,026 297,013 891,040 445,520 222,760 111,380 55,690 27,845 83,536 41,768 20,884 10,442 5,221 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56

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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