λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,017,590
32,017,590
2 × 32 × 5 × 11 × 32341
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 32341
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 90,816,336
Proper Divisor Sum 58,798,746
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32017561 ← → #32017591

Radix Representation

Decimal 32017590
Binary 1111010001000110010110110 (25 bits)
Octal 0o172106266
Hexadecimal 0x1E88CB6

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 32,341 64,682 97,023 161,705 194,046 291,069 323,410 355,751 485,115 582,138 711,502 970,230 1,067,253 1,455,345 1,778,755 2,134,506 2,910,690 3,201,759 3,557,510 5,336,265 6,403,518 10,672,530 16,008,795 32,017,590

Collatz Trajectory (144 steps to reach 1)

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

32,017,590 16,008,795 48,026,386 24,013,193 72,039,580 36,019,790 18,009,895 54,029,686 27,014,843 81,044,530 40,522,265 121,566,796 60,783,398 30,391,699 91,175,098 45,587,549 136,762,648 68,381,324 34,190,662 17,095,331 51,285,994 25,642,997 76,928,992 38,464,496 19,232,248 9,616,124 4,808,062 2,404,031 7,212,094 3,606,047 10,818,142 5,409,071 16,227,214 8,113,607 24,340,822 12,170,411 36,511,234 18,255,617 54,766,852 27,383,426 13,691,713 41,075,140 20,537,570 10,268,785 30,806,356 15,403,178 7,701,589 23,104,768 11,552,384 5,776,192 2,888,096 1,444,048 722,024 361,012 180,506 90,253 270,760 135,380 67,690 33,845

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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