λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,987,630
56,987,630
2 × 5 × 7 × 199 × 4091
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 199 × 4091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 117,849,600
Proper Divisor Sum 60,861,970
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #56987627 ← → #56987633

Radix Representation

Decimal 56987630
Binary 11011001011000111111101110 (26 bits)
Octal 0o331307756
Hexadecimal 0x3658FEE

Divisor Catalog (32)

1 2 5 7 10 14 35 70 199 398 995 1,393 1,990 2,786 4,091 6,965 8,182 13,930 20,455 28,637 40,910 57,274 143,185 286,370 814,109 1,628,218 4,070,545 5,698,763 8,141,090 11,397,526 28,493,815 56,987,630

Collatz Trajectory (176 steps to reach 1)

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

56,987,630 28,493,815 85,481,446 42,740,723 128,222,170 64,111,085 192,333,256 96,166,628 48,083,314 24,041,657 72,124,972 36,062,486 18,031,243 54,093,730 27,046,865 81,140,596 40,570,298 20,285,149 60,855,448 30,427,724 15,213,862 7,606,931 22,820,794 11,410,397 34,231,192 17,115,596 8,557,798 4,278,899 12,836,698 6,418,349 19,255,048 9,627,524 4,813,762 2,406,881 7,220,644 3,610,322 1,805,161 5,415,484 2,707,742 1,353,871 4,061,614 2,030,807 6,092,422 3,046,211 9,138,634 4,569,317 13,707,952 6,853,976 3,426,988 1,713,494 856,747 2,570,242 1,285,121 3,855,364 1,927,682 963,841 2,891,524 1,445,762 722,881 2,168,644

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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