λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,400,510
6,400,510
2 × 5 × 41 × 67 × 233
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 41 × 67 × 233
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,029,472
Proper Divisor Sum 5,628,962
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6400489 ← → #6400531

Radix Representation

Decimal 6400510
Binary 11000011010100111111110 (23 bits)
Octal 0o30324776
Hexadecimal 0x61A9FE

Divisor Catalog (32)

1 2 5 10 41 67 82 134 205 233 335 410 466 670 1,165 2,330 2,747 5,494 9,553 13,735 15,611 19,106 27,470 31,222 47,765 78,055 95,530 156,110 640,051 1,280,102 3,200,255 6,400,510

Collatz Trajectory (121 steps to reach 1)

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

6,400,510 3,200,255 9,600,766 4,800,383 14,401,150 7,200,575 21,601,726 10,800,863 32,402,590 16,201,295 48,603,886 24,301,943 72,905,830 36,452,915 109,358,746 54,679,373 164,038,120 82,019,060 41,009,530 20,504,765 61,514,296 30,757,148 15,378,574 7,689,287 23,067,862 11,533,931 34,601,794 17,300,897 51,902,692 25,951,346 12,975,673 38,927,020 19,463,510 9,731,755 29,195,266 14,597,633 43,792,900 21,896,450 10,948,225 32,844,676 16,422,338 8,211,169 24,633,508 12,316,754 6,158,377 18,475,132 9,237,566 4,618,783 13,856,350 6,928,175 20,784,526 10,392,263 31,176,790 15,588,395 46,765,186 23,382,593 70,147,780 35,073,890 17,536,945 52,610,836

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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