2⁶ × 3 × 7 × 17 × 199

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 17 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 14,630,400

Proper Divisor Sum 10,083,648

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4546721 ← → #4546753

Radix Representation

Decimal	4546752
Binary	10001010110000011000000 (23 bits)
Octal	0o21260300
Hexadecimal	0x4560C0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 199 204 224 238 272 336 357 398 408 448 476 544 597 672 714 796 816 952 1,088 1,194 1,344 1,393 1,428 1,592 1,632 1,904 2,388 2,786 2,856 3,184

Collatz Trajectory (105 steps to reach 1)

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

4,546,752 2,273,376 1,136,688 568,344 284,172 142,086 71,043 213,130 106,565 319,696 159,848 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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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