λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,445,880
56,445,880
23 × 5 × 433 × 3259
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 433 × 3259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 127,335,600
Proper Divisor Sum 70,889,720
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #56445871 ← → #56445937

Radix Representation

Decimal 56445880
Binary 11010111010100101110111000 (26 bits)
Octal 0o327245670
Hexadecimal 0x35D4BB8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 433 866 1,732 2,165 3,259 3,464 4,330 6,518 8,660 13,036 16,295 17,320 26,072 32,590 65,180 130,360 1,411,147 2,822,294 5,644,588 7,055,735 11,289,176 14,111,470 28,222,940 56,445,880

Collatz Trajectory (181 steps to reach 1)

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

56,445,880 28,222,940 14,111,470 7,055,735 21,167,206 10,583,603 31,750,810 15,875,405 47,626,216 23,813,108 11,906,554 5,953,277 17,859,832 8,929,916 4,464,958 2,232,479 6,697,438 3,348,719 10,046,158 5,023,079 15,069,238 7,534,619 22,603,858 11,301,929 33,905,788 16,952,894 8,476,447 25,429,342 12,714,671 38,144,014 19,072,007 57,216,022 28,608,011 85,824,034 42,912,017 128,736,052 64,368,026 32,184,013 96,552,040 48,276,020 24,138,010 12,069,005 36,207,016 18,103,508 9,051,754 4,525,877 13,577,632 6,788,816 3,394,408 1,697,204 848,602 424,301 1,272,904 636,452 318,226 159,113 477,340 238,670 119,335 358,006

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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