2⁵ × 3 × 5 × 7³ × 29

Prime Factor Structure

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

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 18,144,000

Proper Divisor Sum 13,369,440

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4774559 ← → #4774571

Radix Representation

Decimal	4774560
Binary	10010001101101010100000 (23 bits)
Octal	0o22155240
Hexadecimal	0x48DAA0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 49 56 58 60 70 80 84 87 96 98 105 112 116 120 140 145 147 160 168 174 196 203 210 224 232 240 245 280 290 294 336 343 348 392 406 420

Collatz Trajectory (118 steps to reach 1)

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

4,774,560 2,387,280 1,193,640 596,820 298,410 149,205 447,616 223,808 111,904 55,952 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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