λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,323,288
40,323,288
23 × 3 × 97 × 17321
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 97 × 17321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,853,360
Proper Divisor Sum 61,530,072
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #40323287 ← → #40323289

Radix Representation

Decimal 40323288
Binary 10011001110100100011011000 (26 bits)
Octal 0o231644330
Hexadecimal 0x26748D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 97 194 291 388 582 776 1,164 2,328 17,321 34,642 51,963 69,284 103,926 138,568 207,852 415,704 1,680,137 3,360,274 5,040,411 6,720,548 10,080,822 13,441,096 20,161,644 40,323,288

Collatz Trajectory (209 steps to reach 1)

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

40,323,288 20,161,644 10,080,822 5,040,411 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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