λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,142,016
56,142,016
26 × 7 × 113 × 1109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 113 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 128,564,640
Proper Divisor Sum 72,422,624
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #56141983 ← → #56142019

Radix Representation

Decimal 56142016
Binary 11010110001010100011000000 (26 bits)
Octal 0o326124300
Hexadecimal 0x358A8C0

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1,109 1,582 1,808 2,218 3,164 3,616 4,436 6,328 7,232 7,763 8,872 12,656 15,526 17,744 25,312 31,052 35,488 50,624 62,104 70,976 124,208 125,317 248,416 250,634 496,832 501,268 877,219 1,002,536 1,754,438 2,005,072 3,508,876 4,010,144 7,017,752 8,020,288 14,035,504 28,071,008 56,142,016

Collatz Trajectory (155 steps to reach 1)

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

56,142,016 28,071,008 14,035,504 7,017,752 3,508,876 1,754,438 877,219 2,631,658 1,315,829 3,947,488 1,973,744 986,872 493,436 246,718 123,359 370,078 185,039 555,118 277,559 832,678 416,339 1,249,018 624,509 1,873,528 936,764 468,382 234,191 702,574 351,287 1,053,862 526,931 1,580,794 790,397 2,371,192 1,185,596 592,798 296,399 889,198 444,599 1,333,798 666,899 2,000,698 1,000,349 3,001,048 1,500,524 750,262 375,131 1,125,394 562,697 1,688,092 844,046 422,023 1,266,070 633,035 1,899,106 949,553 2,848,660 1,424,330 712,165 2,136,496

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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