2⁵ × 3 × 5 × 7 × 131

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,596,672

Proper Divisor Sum 1,156,512

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #440159 ← → #440171

Radix Representation

Decimal	440160
Binary	1101011011101100000 (19 bits)
Octal	0o1533540
Hexadecimal	0x6B760

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 131 140 160 168 210 224 240 262 280 336 393 420 480 524 560 655 672 786 840 917 1,048 1,120 1,310 1,572 1,680 1,834 1,965 2,096

Collatz Trajectory (187 steps to reach 1)

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

440,160 220,080 110,040 55,020 27,510 13,755 41,266 20,633 61,900 30,950 15,475 46,426 23,213 69,640 34,820 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 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

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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