2⁴ × 5 × 7 × 11 × 73

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,321,344

Proper Divisor Sum 871,664

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #449677 ← → #449681

Radix Representation

Decimal	449680
Binary	1101101110010010000 (19 bits)
Octal	0o1556220
Hexadecimal	0x6DC90

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 73 77 80 88 110 112 140 146 154 176 220 280 292 308 365 385 440 511 560 584 616 730 770 803 880 1,022 1,168 1,232 1,460 1,540 1,606 2,044 2,555 2,920 3,080 3,212 4,015 4,088 5,110 5,621 5,840

Collatz Trajectory (200 steps to reach 1)

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

449,680 224,840 112,420 56,210 28,105 84,316 42,158 21,079 63,238 31,619 94,858 47,429 142,288 71,144 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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