λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,202,012
32,202,012
22 × 3 × 17 × 43 × 3671
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 43 × 3671
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 81,430,272
Proper Divisor Sum 49,228,260
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #32202011 ← → #32202019

Radix Representation

Decimal 32202012
Binary 1111010110101110100011100 (25 bits)
Octal 0o172656434
Hexadecimal 0x1EB5D1C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1,462 2,193 2,924 3,671 4,386 7,342 8,772 11,013 14,684 22,026 44,052 62,407 124,814 157,853 187,221 249,628 315,706 374,442 473,559 631,412 748,884 947,118 1,894,236 2,683,501 5,367,002 8,050,503 10,734,004 16,101,006 32,202,012

Collatz Trajectory (263 steps to reach 1)

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

32,202,012 16,101,006 8,050,503 24,151,510 12,075,755 36,227,266 18,113,633 54,340,900 27,170,450 13,585,225 40,755,676 20,377,838 10,188,919 30,566,758 15,283,379 45,850,138 22,925,069 68,775,208 34,387,604 17,193,802 8,596,901 25,790,704 12,895,352 6,447,676 3,223,838 1,611,919 4,835,758 2,417,879 7,253,638 3,626,819 10,880,458 5,440,229 16,320,688 8,160,344 4,080,172 2,040,086 1,020,043 3,060,130 1,530,065 4,590,196 2,295,098 1,147,549 3,442,648 1,721,324 860,662 430,331 1,290,994 645,497 1,936,492 968,246 484,123 1,452,370 726,185 2,178,556 1,089,278 544,639 1,633,918 816,959 2,450,878 1,225,439

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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