λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,239,705
40,239,705
3 × 5 × 11 × 31 × 7867
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 11 × 31 × 7867
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,511,488
Proper Divisor Sum 32,271,783
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #40239679 ← → #40239709

Radix Representation

Decimal 40239705
Binary 10011001100000001001011001 (26 bits)
Octal 0o231401131
Hexadecimal 0x2660259

Divisor Catalog (32)

1 3 5 11 15 31 33 55 93 155 165 341 465 1,023 1,705 5,115 7,867 23,601 39,335 86,537 118,005 243,877 259,611 432,685 731,631 1,219,385 1,298,055 2,682,647 3,658,155 8,047,941 13,413,235 40,239,705

Collatz Trajectory (209 steps to reach 1)

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

40,239,705 120,719,116 60,359,558 30,179,779 90,539,338 45,269,669 135,809,008 67,904,504 33,952,252 16,976,126 8,488,063 25,464,190 12,732,095 38,196,286 19,098,143 57,294,430 28,647,215 85,941,646 42,970,823 128,912,470 64,456,235 193,368,706 96,684,353 290,053,060 145,026,530 72,513,265 217,539,796 108,769,898 54,384,949 163,154,848 81,577,424 40,788,712 20,394,356 10,197,178 5,098,589 15,295,768 7,647,884 3,823,942 1,911,971 5,735,914 2,867,957 8,603,872 4,301,936 2,150,968 1,075,484 537,742 268,871 806,614 403,307 1,209,922 604,961 1,814,884 907,442 453,721 1,361,164 680,582 340,291 1,020,874 510,437 1,531,312

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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