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Ratio Atlas
Atlas › Integer Profiles › Node 770,044
770,044
22 × 112 × 37 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11^2 × 37 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,556,632
Proper Divisor Sum 786,588
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #770041 ← → #770047

Radix Representation

Decimal 770044
Binary 10111011111111111100 (20 bits)
Octal 0o2737774
Hexadecimal 0xBBFFC

Divisor Catalog (36)

1 2 4 11 22 37 43 44 74 86 121 148 172 242 407 473 484 814 946 1,591 1,628 1,892 3,182 4,477 5,203 6,364 8,954 10,406 17,501 17,908 20,812 35,002 70,004 192,511 385,022 770,044

Collatz Trajectory (273 steps to reach 1)

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

770,044 385,022 192,511 577,534 288,767 866,302 433,151 1,299,454 649,727 1,949,182 974,591 2,923,774 1,461,887 4,385,662 2,192,831 6,578,494 3,289,247 9,867,742 4,933,871 14,801,614 7,400,807 22,202,422 11,101,211 33,303,634 16,651,817 49,955,452 24,977,726 12,488,863 37,466,590 18,733,295 56,199,886 28,099,943 84,299,830 42,149,915 126,449,746 63,224,873 189,674,620 94,837,310 47,418,655 142,255,966 71,127,983 213,383,950 106,691,975 320,075,926 160,037,963 480,113,890 240,056,945 720,170,836 360,085,418 180,042,709 540,128,128 270,064,064 135,032,032 67,516,016 33,758,008 16,879,004 8,439,502 4,219,751 12,659,254 6,329,627

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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