λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,965,232
40,965,232
24 × 7 × 11 × 41 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 11 × 41 × 811
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 101,493,504
Proper Divisor Sum 60,528,272
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40965217 ← → #40965233

Radix Representation

Decimal 40965232
Binary 10011100010001010001110000 (26 bits)
Octal 0o234212160
Hexadecimal 0x2711470

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 811 902 1,148 1,232 1,622 1,804 2,296 3,157 3,244 3,608 4,592 5,677 6,314 6,488 7,216 8,921 11,354 12,628 12,976 17,842 22,708 25,256 33,251 35,684 45,416 50,512 62,447 66,502 71,368 90,832 124,894 133,004 142,736

Collatz Trajectory (147 steps to reach 1)

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

40,965,232 20,482,616 10,241,308 5,120,654 2,560,327 7,680,982 3,840,491 11,521,474 5,760,737 17,282,212 8,641,106 4,320,553 12,961,660 6,480,830 3,240,415 9,721,246 4,860,623 14,581,870 7,290,935 21,872,806 10,936,403 32,809,210 16,404,605 49,213,816 24,606,908 12,303,454 6,151,727 18,455,182 9,227,591 27,682,774 13,841,387 41,524,162 20,762,081 62,286,244 31,143,122 15,571,561 46,714,684 23,357,342 11,678,671 35,036,014 17,518,007 52,554,022 26,277,011 78,831,034 39,415,517 118,246,552 59,123,276 29,561,638 14,780,819 44,342,458 22,171,229 66,513,688 33,256,844 16,628,422 8,314,211 24,942,634 12,471,317 37,413,952 18,706,976 9,353,488

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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