2⁴ × 3⁵ × 5 × 7 × 29

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 16,248,960

Proper Divisor Sum 12,302,640

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3946297 ← → #3946337

Radix Representation

Decimal	3946320
Binary	1111000011011101010000 (22 bits)
Octal	0o17033520
Hexadecimal	0x3C3750

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 29 30 35 36 40 42 45 48 54 56 58 60 63 70 72 80 81 84 87 90 105 108 112 116 120 126 135 140 144 145 162 168 174 180 189 203 210 216 232 240

Collatz Trajectory (79 steps to reach 1)

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

3,946,320 1,973,160 986,580 493,290 246,645 739,936 369,968 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116

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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