λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,323,290
40,323,290
2 × 5 × 7 × 397 × 1451
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 397 × 1451
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,217,024
Proper Divisor Sum 42,893,734
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #40323289 ← → #40323299

Radix Representation

Decimal 40323290
Binary 10011001110100100011011010 (26 bits)
Octal 0o231644332
Hexadecimal 0x26748DA

Divisor Catalog (32)

1 2 5 7 10 14 35 70 397 794 1,451 1,985 2,779 2,902 3,970 5,558 7,255 10,157 13,895 14,510 20,314 27,790 50,785 101,570 576,047 1,152,094 2,880,235 4,032,329 5,760,470 8,064,658 20,161,645 40,323,290

Collatz Trajectory (209 steps to reach 1)

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

40,323,290 20,161,645 60,484,936 30,242,468 15,121,234 7,560,617 22,681,852 11,340,926 5,670,463 17,011,390 8,505,695 25,517,086 12,758,543 38,275,630 19,137,815 57,413,446 28,706,723 86,120,170 43,060,085 129,180,256 64,590,128 32,295,064 16,147,532 8,073,766 4,036,883 12,110,650 6,055,325 18,165,976 9,082,988 4,541,494 2,270,747 6,812,242 3,406,121 10,218,364 5,109,182 2,554,591 7,663,774 3,831,887 11,495,662 5,747,831 17,243,494 8,621,747 25,865,242 12,932,621 38,797,864 19,398,932 9,699,466 4,849,733 14,549,200 7,274,600 3,637,300 1,818,650 909,325 2,727,976 1,363,988 681,994 340,997 1,022,992 511,496 255,748

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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