2² × 3 × 5 × 7 × 29 × 61

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 29 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,499,840

Proper Divisor Sum 1,756,860

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #742967 ← → #742981

Radix Representation

Decimal	742980
Binary	10110101011001000100 (20 bits)
Octal	0o2653104
Hexadecimal	0xB5644

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 61 70 84 87 105 116 122 140 145 174 183 203 210 244 290 305 348 366 406 420 427 435 580 609 610 732 812 854 870 915 1,015 1,218 1,220 1,281 1,708 1,740 1,769 1,830 2,030 2,135

Collatz Trajectory (180 steps to reach 1)

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

742,980 371,490 185,745 557,236 278,618 139,309 417,928 208,964 104,482 52,241 156,724 78,362 39,181 117,544 58,772 29,386 14,693 44,080 22,040 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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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