λ
Ratio Atlas
Atlas › Integer Profiles › Node 501,402
501,402
2 × 3 × 11 × 71 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 11 × 71 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,119,744
Proper Divisor Sum 618,342
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #501401 ← → #501409

Radix Representation

Decimal 501402
Binary 1111010011010011010 (19 bits)
Octal 0o1723232
Hexadecimal 0x7A69A

Divisor Catalog (32)

1 2 3 6 11 22 33 66 71 107 142 213 214 321 426 642 781 1,177 1,562 2,343 2,354 3,531 4,686 7,062 7,597 15,194 22,791 45,582 83,567 167,134 250,701 501,402

Collatz Trajectory (63 steps to reach 1)

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

501,402 250,701 752,104 376,052 188,026 94,013 282,040 141,020 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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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