2³ × 3² × 7 × 11 × 131

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 11 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,471,040

Proper Divisor Sum 1,744,776

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #726221 ← → #726287

Radix Representation

Decimal	726264
Binary	10110001010011111000 (20 bits)
Octal	0o2612370
Hexadecimal	0xB14F8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 131 132 154 168 198 231 252 262 264 308 393 396 462 504 524 616 693 786 792 917 924 1,048 1,179 1,386 1,441 1,572 1,834 1,848 2,358 2,751 2,772

Collatz Trajectory (92 steps to reach 1)

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

726,264 363,132 181,566 90,783 272,350 136,175 408,526 204,263 612,790 306,395 919,186 459,593 1,378,780 689,390 344,695 1,034,086 517,043 1,551,130 775,565 2,326,696 1,163,348 581,674 290,837 872,512 436,256 218,128 109,064 54,532 27,266 13,633 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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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