2⁷ × 3³ × 23² × 43

Prime Factor Structure

Factorization String 2^7 × 3^3 × 23^2 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 248,186,400

Proper Divisor Sum 169,572,768

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #78613631 ← → #78613643

Radix Representation

Decimal	78613632
Binary	100101011111000110010000000 (27 bits)
Octal	0o453706200
Hexadecimal	0x4AF8C80

Divisor Catalog (60 of 192)

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 43 46 48 54 64 69 72 86 92 96 108 128 129 138 144 172 184 192 207 216 258 276 288 344 368 384 387 414 432 516 529 552 576 621 688 736 774 828 864 989 1,032 1,058 1,104 1,152 1,161

Collatz Trajectory (171 steps to reach 1)

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

78,613,632 39,306,816 19,653,408 9,826,704 4,913,352 2,456,676 1,228,338 614,169 1,842,508 921,254 460,627 1,381,882 690,941 2,072,824 1,036,412 518,206 259,103 777,310 388,655 1,165,966 582,983 1,748,950 874,475 2,623,426 1,311,713 3,935,140 1,967,570 983,785 2,951,356 1,475,678 737,839 2,213,518 1,106,759 3,320,278 1,660,139 4,980,418 2,490,209 7,470,628 3,735,314 1,867,657 5,602,972 2,801,486 1,400,743 4,202,230 2,101,115 6,303,346 3,151,673 9,455,020 4,727,510 2,363,755 7,091,266 3,545,633 10,636,900 5,318,450 2,659,225 7,977,676 3,988,838 1,994,419 5,983,258 2,991,629

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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