2⁶ × 3² × 13 × 67

Prime Factor Structure

Factorization String 2^6 × 3^2 × 13 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 1,571,752

Proper Divisor Sum 1,070,056

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #501691 ← → #501701

Radix Representation

Decimal	501696
Binary	1111010011111000000 (19 bits)
Octal	0o1723700
Hexadecimal	0x7A7C0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 67 72 78 96 104 117 134 144 156 192 201 208 234 268 288 312 402 416 468 536 576 603 624 804 832 871 936 1,072 1,206 1,248 1,608 1,742 1,872 2,144 2,412 2,496 2,613 3,216 3,484 3,744 4,288

Collatz Trajectory (89 steps to reach 1)

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

501,696 250,848 125,424 62,712 31,356 15,678 7,839 23,518 11,759 35,278 17,639 52,918 26,459 79,378 39,689 119,068 59,534 29,767 89,302 44,651 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185

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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