λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,814,595
37,814,595
3 × 5 × 7 × 132 × 2131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13^2 × 2131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,909,952
Proper Divisor Sum 37,095,357
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #37814593 ← → #37814627

Radix Representation

Decimal 37814595
Binary 10010000010000000101000011 (26 bits)
Octal 0o220200503
Hexadecimal 0x2410143

Divisor Catalog (48)

1 3 5 7 13 15 21 35 39 65 91 105 169 195 273 455 507 845 1,183 1,365 2,131 2,535 3,549 5,915 6,393 10,655 14,917 17,745 27,703 31,965 44,751 74,585 83,109 138,515 193,921 223,755 360,139 415,545 581,763 969,605 1,080,417 1,800,695 2,520,973 2,908,815 5,402,085 7,562,919 12,604,865 37,814,595

Collatz Trajectory (134 steps to reach 1)

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

37,814,595 113,443,786 56,721,893 170,165,680 85,082,840 42,541,420 21,270,710 10,635,355 31,906,066 15,953,033 47,859,100 23,929,550 11,964,775 35,894,326 17,947,163 53,841,490 26,920,745 80,762,236 40,381,118 20,190,559 60,571,678 30,285,839 90,857,518 45,428,759 136,286,278 68,143,139 204,429,418 102,214,709 306,644,128 153,322,064 76,661,032 38,330,516 19,165,258 9,582,629 28,747,888 14,373,944 7,186,972 3,593,486 1,796,743 5,390,230 2,695,115 8,085,346 4,042,673 12,128,020 6,064,010 3,032,005 9,096,016 4,548,008 2,274,004 1,137,002 568,501 1,705,504 852,752 426,376 213,188 106,594 53,297 159,892 79,946 39,973

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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