2² × 3² × 5² × 7 × 11 × 53

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 11 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 14,624,064

Proper Divisor Sum 10,951,164

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3672899 ← → #3672917

Radix Representation

Decimal	3672900
Binary	1110000000101101000100 (22 bits)
Octal	0o16005504
Hexadecimal	0x380B44

Divisor Catalog (60 of 216)

1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 25 28 30 33 35 36 42 44 45 50 53 55 60 63 66 70 75 77 84 90 99 100 105 106 110 126 132 140 150 154 159 165 175 180 198 210 212 220 225 231 252 265 275

Collatz Trajectory (66 steps to reach 1)

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

3,672,900 1,836,450 918,225 2,754,676 1,377,338 688,669 2,066,008 1,033,004 516,502 258,251 774,754 387,377 1,162,132 581,066 290,533 871,600 435,800 217,900 108,950 54,475 163,426 81,713 245,140 122,570 61,285 183,856 91,928 45,964 22,982 11,491 34,474 17,237 51,712 25,856 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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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