2⁶ × 5² × 11² × 23

Prime Factor Structure

Factorization String 2^6 × 5^2 × 11^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 12,566,904

Proper Divisor Sum 8,114,104

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4452797 ← → #4452803

Radix Representation

Decimal	4452800
Binary	10000111111000111000000 (23 bits)
Octal	0o20770700
Hexadecimal	0x43F1C0

Divisor Catalog (60 of 126)

1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 160 176 184 200 220 230 242 253 275 320 352 368 400 440 460 484 506 550 575 605 704 736 800 880 920 968 1,012 1,100 1,150 1,210 1,265 1,472 1,600 1,760

Collatz Trajectory (87 steps to reach 1)

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

4,452,800 2,226,400 1,113,200 556,600 278,300 139,150 69,575 208,726 104,363 313,090 156,545 469,636 234,818 117,409 352,228 176,114 88,057 264,172 132,086 66,043 198,130 99,065 297,196 148,598 74,299 222,898 111,449 334,348 167,174 83,587 250,762 125,381 376,144 188,072 94,036 47,018 23,509 70,528 35,264 17,632 8,816 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

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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