λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,101,444
37,101,444
22 × 3 × 617 × 5011
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 617 × 5011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 86,727,648
Proper Divisor Sum 49,626,204
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #37101443 ← → #37101457

Radix Representation

Decimal 37101444
Binary 10001101100001111110000100 (26 bits)
Octal 0o215417604
Hexadecimal 0x2361F84

Divisor Catalog (24)

1 2 3 4 6 12 617 1,234 1,851 2,468 3,702 5,011 7,404 10,022 15,033 20,044 30,066 60,132 3,091,787 6,183,574 9,275,361 12,367,148 18,550,722 37,101,444

Collatz Trajectory (333 steps to reach 1)

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

37,101,444 18,550,722 9,275,361 27,826,084 13,913,042 6,956,521 20,869,564 10,434,782 5,217,391 15,652,174 7,826,087 23,478,262 11,739,131 35,217,394 17,608,697 52,826,092 26,413,046 13,206,523 39,619,570 19,809,785 59,429,356 29,714,678 14,857,339 44,572,018 22,286,009 66,858,028 33,429,014 16,714,507 50,143,522 25,071,761 75,215,284 37,607,642 18,803,821 56,411,464 28,205,732 14,102,866 7,051,433 21,154,300 10,577,150 5,288,575 15,865,726 7,932,863 23,798,590 11,899,295 35,697,886 17,848,943 53,546,830 26,773,415 80,320,246 40,160,123 120,480,370 60,240,185 180,720,556 90,360,278 45,180,139 135,540,418 67,770,209 203,310,628 101,655,314 50,827,657

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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