2⁵ × 3⁴ × 37 × 43

Prime Factor Structure

Factorization String 2^5 × 3^4 × 37 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,745,656

Proper Divisor Sum 8,621,784

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4123871 ← → #4123891

Radix Representation

Decimal	4123872
Binary	1111101110110011100000 (22 bits)
Octal	0o17566340
Hexadecimal	0x3EECE0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 43 48 54 72 74 81 86 96 108 111 129 144 148 162 172 216 222 258 288 296 324 333 344 387 432 444 516 592 648 666 688 774 864 888 999 1,032 1,161 1,184 1,296 1,332 1,376 1,548 1,591 1,776 1,998

Collatz Trajectory (105 steps to reach 1)

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

4,123,872 2,061,936 1,030,968 515,484 257,742 128,871 386,614 193,307 579,922 289,961 869,884 434,942 217,471 652,414 326,207 978,622 489,311 1,467,934 733,967 2,201,902 1,100,951 3,302,854 1,651,427 4,954,282 2,477,141 7,431,424 3,715,712 1,857,856 928,928 464,464 232,232 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364

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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