2³ × 3³ × 11 × 53 × 59

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 53 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 23,328,000

Proper Divisor Sum 15,898,248

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7429729 ← → #7429757

Radix Representation

Decimal	7429752
Binary	11100010101111001111000 (23 bits)
Octal	0o34257170
Hexadecimal	0x715E78

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 53 54 59 66 72 88 99 106 108 118 132 159 177 198 212 216 236 264 297 318 354 396 424 472 477 531 583 594 636 649 708 792 954 1,062 1,166 1,188 1,272 1,298 1,416 1,431 1,593 1,749 1,908 1,947

Collatz Trajectory (142 steps to reach 1)

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

7,429,752 3,714,876 1,857,438 928,719 2,786,158 1,393,079 4,179,238 2,089,619 6,268,858 3,134,429 9,403,288 4,701,644 2,350,822 1,175,411 3,526,234 1,763,117 5,289,352 2,644,676 1,322,338 661,169 1,983,508 991,754 495,877 1,487,632 743,816 371,908 185,954 92,977 278,932 139,466 69,733 209,200 104,600 52,300 26,150 13,075 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140

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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