λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,369,912
40,369,912
23 × 11 × 41 × 67 × 167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 41 × 67 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 86,365,440
Proper Divisor Sum 45,995,528
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40369897 ← → #40369919

Radix Representation

Decimal 40369912
Binary 10011001111111111011111000 (26 bits)
Octal 0o231777370
Hexadecimal 0x267FEF8

Divisor Catalog (60 of 64)

1 2 4 8 11 22 41 44 67 82 88 134 164 167 268 328 334 451 536 668 737 902 1,336 1,474 1,804 1,837 2,747 2,948 3,608 3,674 5,494 5,896 6,847 7,348 10,988 11,189 13,694 14,696 21,976 22,378 27,388 30,217 44,756 54,776 60,434 75,317 89,512 120,868 123,079 150,634 241,736 246,158 301,268 458,749 492,316 602,536 917,498 984,632 1,834,996 3,669,992

Collatz Trajectory (147 steps to reach 1)

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

40,369,912 20,184,956 10,092,478 5,046,239 15,138,718 7,569,359 22,708,078 11,354,039 34,062,118 17,031,059 51,093,178 25,546,589 76,639,768 38,319,884 19,159,942 9,579,971 28,739,914 14,369,957 43,109,872 21,554,936 10,777,468 5,388,734 2,694,367 8,083,102 4,041,551 12,124,654 6,062,327 18,186,982 9,093,491 27,280,474 13,640,237 40,920,712 20,460,356 10,230,178 5,115,089 15,345,268 7,672,634 3,836,317 11,508,952 5,754,476 2,877,238 1,438,619 4,315,858 2,157,929 6,473,788 3,236,894 1,618,447 4,855,342 2,427,671 7,283,014 3,641,507 10,924,522 5,462,261 16,386,784 8,193,392 4,096,696 2,048,348 1,024,174 512,087 1,536,262

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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