2³ × 3 × 7 × 13² × 41

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13^2 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,689,280

Proper Divisor Sum 2,525,208

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1164071 ← → #1164077

Radix Representation

Decimal	1164072
Binary	100011100001100101000 (21 bits)
Octal	0o4341450
Hexadecimal	0x11C328

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 169 182 246 273 287 312 328 338 364 492 507 533 546 574 676 728 861 984 1,014 1,066 1,092 1,148 1,183 1,352 1,599 1,722 2,028 2,132 2,184 2,296 2,366 3,198

Collatz Trajectory (72 steps to reach 1)

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

1,164,072 582,036 291,018 145,509 436,528 218,264 109,132 54,566 27,283 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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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