2⁵ × 5² × 11² × 31

Prime Factor Structure

Factorization String 2^5 × 5^2 × 11^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 8,311,968

Proper Divisor Sum 5,311,168

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #3000797 ← → #3000821

Radix Representation

Decimal	3000800
Binary	1011011100100111100000 (22 bits)
Octal	0o13344740
Hexadecimal	0x2DC9E0

Divisor Catalog (60 of 108)

1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 80 88 100 110 121 124 155 160 176 200 220 242 248 275 310 341 352 400 440 484 496 550 605 620 682 775 800 880 968 992 1,100 1,210 1,240 1,364 1,550 1,705 1,760 1,936 2,200 2,420 2,480 2,728

Collatz Trajectory (89 steps to reach 1)

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

3,000,800 1,500,400 750,200 375,100 187,550 93,775 281,326 140,663 421,990 210,995 632,986 316,493 949,480 474,740 237,370 118,685 356,056 178,028 89,014 44,507 133,522 66,761 200,284 100,142 50,071 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529

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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