λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,596,830
31,596,830
2 × 5 × 43 × 197 × 373
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 43 × 197 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,649,184
Proper Divisor Sum 27,052,354
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #31596821 ← → #31596839

Radix Representation

Decimal 31596830
Binary 1111000100010000100011110 (25 bits)
Octal 0o170420436
Hexadecimal 0x1E2211E

Divisor Catalog (32)

1 2 5 10 43 86 197 215 373 394 430 746 985 1,865 1,970 3,730 8,471 16,039 16,942 32,078 42,355 73,481 80,195 84,710 146,962 160,390 367,405 734,810 3,159,683 6,319,366 15,798,415 31,596,830

Collatz Trajectory (126 steps to reach 1)

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

31,596,830 15,798,415 47,395,246 23,697,623 71,092,870 35,546,435 106,639,306 53,319,653 159,958,960 79,979,480 39,989,740 19,994,870 9,997,435 29,992,306 14,996,153 44,988,460 22,494,230 11,247,115 33,741,346 16,870,673 50,612,020 25,306,010 12,653,005 37,959,016 18,979,508 9,489,754 4,744,877 14,234,632 7,117,316 3,558,658 1,779,329 5,337,988 2,668,994 1,334,497 4,003,492 2,001,746 1,000,873 3,002,620 1,501,310 750,655 2,251,966 1,125,983 3,377,950 1,688,975 5,066,926 2,533,463 7,600,390 3,800,195 11,400,586 5,700,293 17,100,880 8,550,440 4,275,220 2,137,610 1,068,805 3,206,416 1,603,208 801,604 400,802 200,401

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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