λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,514,766
40,514,766
2 × 3 × 67 × 97 × 1039
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 67 × 97 × 1039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,166,720
Proper Divisor Sum 42,651,954
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #40514717 ← → #40514767

Radix Representation

Decimal 40514766
Binary 10011010100011010011001110 (26 bits)
Octal 0o232432316
Hexadecimal 0x26A34CE

Divisor Catalog (32)

1 2 3 6 67 97 134 194 201 291 402 582 1,039 2,078 3,117 6,234 6,499 12,998 19,497 38,994 69,613 100,783 139,226 201,566 208,839 302,349 417,678 604,698 6,752,461 13,504,922 20,257,383 40,514,766

Collatz Trajectory (245 steps to reach 1)

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

40,514,766 20,257,383 60,772,150 30,386,075 91,158,226 45,579,113 136,737,340 68,368,670 34,184,335 102,553,006 51,276,503 153,829,510 76,914,755 230,744,266 115,372,133 346,116,400 173,058,200 86,529,100 43,264,550 21,632,275 64,896,826 32,448,413 97,345,240 48,672,620 24,336,310 12,168,155 36,504,466 18,252,233 54,756,700 27,378,350 13,689,175 41,067,526 20,533,763 61,601,290 30,800,645 92,401,936 46,200,968 23,100,484 11,550,242 5,775,121 17,325,364 8,662,682 4,331,341 12,994,024 6,497,012 3,248,506 1,624,253 4,872,760 2,436,380 1,218,190 609,095 1,827,286 913,643 2,740,930 1,370,465 4,111,396 2,055,698 1,027,849 3,083,548 1,541,774

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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