2⁴ × 5³ × 7 × 29 × 107

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7 × 29 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 125,349,120

Proper Divisor Sum 81,907,120

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #43441973 ← → #43442011

Radix Representation

Decimal	43442000
Binary	10100101101101111101010000 (26 bits)
Octal	0o245557520
Hexadecimal	0x296DF50

Divisor Catalog (60 of 160)

1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 50 56 58 70 80 100 107 112 116 125 140 145 175 200 203 214 232 250 280 290 350 400 406 428 464 500 535 560 580 700 725 749 812 856 875 1,000 1,015 1,070 1,160 1,400 1,450 1,498 1,624 1,712 1,750

Collatz Trajectory (235 steps to reach 1)

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

43,442,000 21,721,000 10,860,500 5,430,250 2,715,125 8,145,376 4,072,688 2,036,344 1,018,172 509,086 254,543 763,630 381,815 1,145,446 572,723 1,718,170 859,085 2,577,256 1,288,628 644,314 322,157 966,472 483,236 241,618 120,809 362,428 181,214 90,607 271,822 135,911 407,734 203,867 611,602 305,801 917,404 458,702 229,351 688,054 344,027 1,032,082 516,041 1,548,124 774,062 387,031 1,161,094 580,547 1,741,642 870,821 2,612,464 1,306,232 653,116 326,558 163,279 489,838 244,919 734,758 367,379 1,102,138 551,069 1,653,208

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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