2⁵ × 3 × 5² × 29

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 234,360

Proper Divisor Sum 164,760

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #69593 ← → #69623

Radix Representation

Decimal	69600
Binary	10000111111100000 (17 bits)
Octal	0o207740
Hexadecimal	0x10FE0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1,160 1,200 1,392 1,450 1,740 2,175 2,320 2,400 2,784 2,900

Collatz Trajectory (81 steps to reach 1)

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

69,600 34,800 17,400 8,700 4,350 2,175 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74

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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