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Ratio Atlas
Atlas › Integer Profiles › Node 40,320,976
40,320,976
24 × 127 × 19843
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 127 × 19843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 78,740,992
Proper Divisor Sum 38,420,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40320967 ← → #40320989

Radix Representation

Decimal 40320976
Binary 10011001110011111111010000 (26 bits)
Octal 0o231637720
Hexadecimal 0x2673FD0

Divisor Catalog (20)

1 2 4 8 16 127 254 508 1,016 2,032 19,843 39,686 79,372 158,744 317,488 2,520,061 5,040,122 10,080,244 20,160,488 40,320,976

Collatz Trajectory (209 steps to reach 1)

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

40,320,976 20,160,488 10,080,244 5,040,122 2,520,061 7,560,184 3,780,092 1,890,046 945,023 2,835,070 1,417,535 4,252,606 2,126,303 6,378,910 3,189,455 9,568,366 4,784,183 14,352,550 7,176,275 21,528,826 10,764,413 32,293,240 16,146,620 8,073,310 4,036,655 12,109,966 6,054,983 18,164,950 9,082,475 27,247,426 13,623,713 40,871,140 20,435,570 10,217,785 30,653,356 15,326,678 7,663,339 22,990,018 11,495,009 34,485,028 17,242,514 8,621,257 25,863,772 12,931,886 6,465,943 19,397,830 9,698,915 29,096,746 14,548,373 43,645,120 21,822,560 10,911,280 5,455,640 2,727,820 1,363,910 681,955 2,045,866 1,022,933 3,068,800 1,534,400

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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