λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,960,252
36,960,252
22 × 3 × 7 × 251 × 1753
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 251 × 1753
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,009,792
Proper Divisor Sum 62,049,540
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36960251 ← → #36960269

Radix Representation

Decimal 36960252
Binary 10001100111111011111111100 (26 bits)
Octal 0o214773774
Hexadecimal 0x233F7FC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 251 502 753 1,004 1,506 1,753 1,757 3,012 3,506 3,514 5,259 5,271 7,012 7,028 10,518 10,542 12,271 21,036 21,084 24,542 36,813 49,084 73,626 147,252 440,003 880,006 1,320,009 1,760,012 2,640,018 3,080,021 5,280,036 6,160,042 9,240,063 12,320,084 18,480,126 36,960,252

Collatz Trajectory (271 steps to reach 1)

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

36,960,252 18,480,126 9,240,063 27,720,190 13,860,095 41,580,286 20,790,143 62,370,430 31,185,215 93,555,646 46,777,823 140,333,470 70,166,735 210,500,206 105,250,103 315,750,310 157,875,155 473,625,466 236,812,733 710,438,200 355,219,100 177,609,550 88,804,775 266,414,326 133,207,163 399,621,490 199,810,745 599,432,236 299,716,118 149,858,059 449,574,178 224,787,089 674,361,268 337,180,634 168,590,317 505,770,952 252,885,476 126,442,738 63,221,369 189,664,108 94,832,054 47,416,027 142,248,082 71,124,041 213,372,124 106,686,062 53,343,031 160,029,094 80,014,547 240,043,642 120,021,821 360,065,464 180,032,732 90,016,366 45,008,183 135,024,550 67,512,275 202,536,826 101,268,413 303,805,240

Active Feeder Network

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

Feeder #8,365,252 Feeder #1,448,561 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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