λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,122,012
40,122,012
22 × 3 × 7 × 67 × 7129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 67 × 7129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 108,604,160
Proper Divisor Sum 68,482,148
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #40121999 ← → #40122031

Radix Representation

Decimal 40122012
Binary 10011001000011011010011100 (26 bits)
Octal 0o231033234
Hexadecimal 0x264369C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1,407 1,876 2,814 5,628 7,129 14,258 21,387 28,516 42,774 49,903 85,548 99,806 149,709 199,612 299,418 477,643 598,836 955,286 1,432,929 1,910,572 2,865,858 3,343,501 5,731,716 6,687,002 10,030,503 13,374,004 20,061,006 40,122,012

Collatz Trajectory (191 steps to reach 1)

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

40,122,012 20,061,006 10,030,503 30,091,510 15,045,755 45,137,266 22,568,633 67,705,900 33,852,950 16,926,475 50,779,426 25,389,713 76,169,140 38,084,570 19,042,285 57,126,856 28,563,428 14,281,714 7,140,857 21,422,572 10,711,286 5,355,643 16,066,930 8,033,465 24,100,396 12,050,198 6,025,099 18,075,298 9,037,649 27,112,948 13,556,474 6,778,237 20,334,712 10,167,356 5,083,678 2,541,839 7,625,518 3,812,759 11,438,278 5,719,139 17,157,418 8,578,709 25,736,128 12,868,064 6,434,032 3,217,016 1,608,508 804,254 402,127 1,206,382 603,191 1,809,574 904,787 2,714,362 1,357,181 4,071,544 2,035,772 1,017,886 508,943 1,526,830

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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