2³ × 3 × 7 × 11² × 13

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11^2 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 893,760

Proper Divisor Sum 629,496

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #264263 ← → #264269

Radix Representation

Decimal	264264
Binary	1000000100001001000 (19 bits)
Octal	0o1004110
Hexadecimal	0x40848

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 121 132 143 154 156 168 182 231 242 264 273 286 308 312 363 364 429 462 484 546 572 616 726 728 847 858 924 968 1,001 1,092 1,144

Collatz Trajectory (101 steps to reach 1)

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

264,264 132,132 66,066 33,033 99,100 49,550 24,775 74,326 37,163 111,490 55,745 167,236 83,618 41,809 125,428 62,714 31,357 94,072 47,036 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

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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