2⁵ × 3³ × 5 × 173

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,630,880

Proper Divisor Sum 1,883,520

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #747343 ← → #747361

Radix Representation

Decimal	747360
Binary	10110110011101100000 (20 bits)
Octal	0o2663540
Hexadecimal	0xB6760

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 173 180 216 240 270 288 346 360 432 480 519 540 692 720 864 865 1,038 1,080 1,384 1,440 1,557 1,730 2,076 2,160 2,595 2,768 3,114

Collatz Trajectory (224 steps to reach 1)

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

747,360 373,680 186,840 93,420 46,710 23,355 70,066 35,033 105,100 52,550 26,275 78,826 39,413 118,240 59,120 29,560 14,780 7,390 3,695 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750

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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