λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,501,540
40,501,540
22 × 5 × 19 × 53 × 2011
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 53 × 2011
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,264,320
Proper Divisor Sum 50,762,780
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #40501529 ← → #40501541

Radix Representation

Decimal 40501540
Binary 10011010100000000100100100 (26 bits)
Octal 0o232400444
Hexadecimal 0x26A0124

Divisor Catalog (48)

1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1,007 1,060 2,011 2,014 4,022 4,028 5,035 8,044 10,055 10,070 20,110 20,140 38,209 40,220 76,418 106,583 152,836 191,045 213,166 382,090 426,332 532,915 764,180 1,065,830 2,025,077 2,131,660 4,050,154 8,100,308 10,125,385 20,250,770 40,501,540

Collatz Trajectory (253 steps to reach 1)

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

40,501,540 20,250,770 10,125,385 30,376,156 15,188,078 7,594,039 22,782,118 11,391,059 34,173,178 17,086,589 51,259,768 25,629,884 12,814,942 6,407,471 19,222,414 9,611,207 28,833,622 14,416,811 43,250,434 21,625,217 64,875,652 32,437,826 16,218,913 48,656,740 24,328,370 12,164,185 36,492,556 18,246,278 9,123,139 27,369,418 13,684,709 41,054,128 20,527,064 10,263,532 5,131,766 2,565,883 7,697,650 3,848,825 11,546,476 5,773,238 2,886,619 8,659,858 4,329,929 12,989,788 6,494,894 3,247,447 9,742,342 4,871,171 14,613,514 7,306,757 21,920,272 10,960,136 5,480,068 2,740,034 1,370,017 4,110,052 2,055,026 1,027,513 3,082,540 1,541,270

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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