2³ × 3² × 5 × 13 × 67

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,113,840

Proper Divisor Sum 800,280

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #313553 ← → #313561

Radix Representation

Decimal	313560
Binary	1001100100011011000 (19 bits)
Octal	0o1144330
Hexadecimal	0x4C8D8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 67 72 78 90 104 117 120 130 134 156 180 195 201 234 260 268 312 335 360 390 402 468 520 536 585 603 670 780 804 871 936 1,005 1,170 1,206 1,340 1,560

Collatz Trajectory (202 steps to reach 1)

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

313,560 156,780 78,390 39,195 117,586 58,793 176,380 88,190 44,095 132,286 66,143 198,430 99,215 297,646 148,823 446,470 223,235 669,706 334,853 1,004,560 502,280 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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