2⁴ × 3 × 7 × 13 × 89

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,249,920

Proper Divisor Sum 861,168

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #388727 ← → #388757

Radix Representation

Decimal	388752
Binary	1011110111010010000 (19 bits)
Octal	0o1367220
Hexadecimal	0x5EE90

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 89 91 104 112 156 168 178 182 208 267 273 312 336 356 364 534 546 623 624 712 728 1,068 1,092 1,157 1,246 1,424 1,456 1,869 2,136 2,184 2,314 2,492 3,471 3,738 4,272 4,368 4,628 4,984

Collatz Trajectory (73 steps to reach 1)

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

388,752 194,376 97,188 48,594 24,297 72,892 36,446 18,223 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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