λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,331,772
56,331,772
22 × 72 × 167 × 1721
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 167 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 115,429,104
Proper Divisor Sum 59,097,332
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #56331733 ← → #56331787

Radix Representation

Decimal 56331772
Binary 11010110111000110111111100 (26 bits)
Octal 0o326706774
Hexadecimal 0x35B8DFC

Divisor Catalog (36)

1 2 4 7 14 28 49 98 167 196 334 668 1,169 1,721 2,338 3,442 4,676 6,884 8,183 12,047 16,366 24,094 32,732 48,188 84,329 168,658 287,407 337,316 574,814 1,149,628 2,011,849 4,023,698 8,047,396 14,082,943 28,165,886 56,331,772

Collatz Trajectory (106 steps to reach 1)

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

56,331,772 28,165,886 14,082,943 42,248,830 21,124,415 63,373,246 31,686,623 95,059,870 47,529,935 142,589,806 71,294,903 213,884,710 106,942,355 320,827,066 160,413,533 481,240,600 240,620,300 120,310,150 60,155,075 180,465,226 90,232,613 270,697,840 135,348,920 67,674,460 33,837,230 16,918,615 50,755,846 25,377,923 76,133,770 38,066,885 114,200,656 57,100,328 28,550,164 14,275,082 7,137,541 21,412,624 10,706,312 5,353,156 2,676,578 1,338,289 4,014,868 2,007,434 1,003,717 3,011,152 1,505,576 752,788 376,394 188,197 564,592 282,296 141,148 70,574 35,287 105,862 52,931 158,794 79,397 238,192 119,096 59,548

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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