2³ × 3⁷ × 19 × 23

Prime Factor Structure

Factorization String 2^3 × 3^7 × 19 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,616,000

Proper Divisor Sum 15,970,248

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7645739 ← → #7645753

Radix Representation

Decimal	7645752
Binary	11101001010101000111000 (23 bits)
Octal	0o35125070
Hexadecimal	0x74AA38

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 138 152 162 171 184 207 216 228 243 276 324 342 414 437 456 486 513 552 621 648 684 729 828 874 972 1,026 1,242 1,311 1,368 1,458 1,539 1,656 1,748 1,863 1,944

Collatz Trajectory (204 steps to reach 1)

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

7,645,752 3,822,876 1,911,438 955,719 2,867,158 1,433,579 4,300,738 2,150,369 6,451,108 3,225,554 1,612,777 4,838,332 2,419,166 1,209,583 3,628,750 1,814,375 5,443,126 2,721,563 8,164,690 4,082,345 12,247,036 6,123,518 3,061,759 9,185,278 4,592,639 13,777,918 6,888,959 20,666,878 10,333,439 31,000,318 15,500,159 46,500,478 23,250,239 69,750,718 34,875,359 104,626,078 52,313,039 156,939,118 78,469,559 235,408,678 117,704,339 353,113,018 176,556,509 529,669,528 264,834,764 132,417,382 66,208,691 198,626,074 99,313,037 297,939,112 148,969,556 74,484,778 37,242,389 111,727,168 55,863,584 27,931,792 13,965,896 6,982,948 3,491,474 1,745,737

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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