2 × 3 × 5 × 7² × 23 × 29 × 41

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 23 × 29 × 41

Distinct Prime Factors 7

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 124,104,960

Proper Divisor Sum 83,904,870

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #40200071 ← → #40200091

Radix Representation

Decimal	40200090
Binary	10011001010110011110011010 (26 bits)
Octal	0o231263632
Hexadecimal	0x265679A

Divisor Catalog (60 of 192)

1 2 3 5 6 7 10 14 15 21 23 29 30 35 41 42 46 49 58 69 70 82 87 98 105 115 123 138 145 147 161 174 203 205 210 230 245 246 287 290 294 322 345 406 410 435 483 490 574 609 615 667 690 735 805 861 870 943 966 1,015

Collatz Trajectory (178 steps to reach 1)

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

40,200,090 20,100,045 60,300,136 30,150,068 15,075,034 7,537,517 22,612,552 11,306,276 5,653,138 2,826,569 8,479,708 4,239,854 2,119,927 6,359,782 3,179,891 9,539,674 4,769,837 14,309,512 7,154,756 3,577,378 1,788,689 5,366,068 2,683,034 1,341,517 4,024,552 2,012,276 1,006,138 503,069 1,509,208 754,604 377,302 188,651 565,954 282,977 848,932 424,466 212,233 636,700 318,350 159,175 477,526 238,763 716,290 358,145 1,074,436 537,218 268,609 805,828 402,914 201,457 604,372 302,186 151,093 453,280 226,640 113,320 56,660 28,330 14,165 42,496

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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