2⁷ × 3 × 19 × 31 × 43

Prime Factor Structure

Factorization String 2^7 × 3 × 19 × 31 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 28,723,200

Proper Divisor Sum 18,997,632

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9725567 ← → #9725591

Radix Representation

Decimal	9725568
Binary	100101000110011010000000 (24 bits)
Octal	0o45063200
Hexadecimal	0x946680

Divisor Catalog (60 of 128)

1 2 3 4 6 8 12 16 19 24 31 32 38 43 48 57 62 64 76 86 93 96 114 124 128 129 152 172 186 192 228 248 258 304 344 372 384 456 496 516 589 608 688 744 817 912 992 1,032 1,178 1,216 1,333 1,376 1,488 1,634 1,767 1,824 1,984 2,064 2,356 2,432

Collatz Trajectory (62 steps to reach 1)

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

9,725,568 4,862,784 2,431,392 1,215,696 607,848 303,924 151,962 75,981 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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