λ
Ratio Atlas
Atlas › Integer Profiles › Node 66,735,006
66,735,006
2 × 3 × 13 × 23 × 37199
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 23 × 37199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 149,990,400
Proper Divisor Sum 83,255,394
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #66734999 ← → #66735007

Radix Representation

Decimal 66735006
Binary 11111110100100101110011110 (26 bits)
Octal 0o376445636
Hexadecimal 0x3FA4B9E

Divisor Catalog (32)

1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1,794 37,199 74,398 111,597 223,194 483,587 855,577 967,174 1,450,761 1,711,154 2,566,731 2,901,522 5,133,462 11,122,501 22,245,002 33,367,503 66,735,006

Collatz Trajectory (163 steps to reach 1)

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

66,735,006 33,367,503 100,102,510 50,051,255 150,153,766 75,076,883 225,230,650 112,615,325 337,845,976 168,922,988 84,461,494 42,230,747 126,692,242 63,346,121 190,038,364 95,019,182 47,509,591 142,528,774 71,264,387 213,793,162 106,896,581 320,689,744 160,344,872 80,172,436 40,086,218 20,043,109 60,129,328 30,064,664 15,032,332 7,516,166 3,758,083 11,274,250 5,637,125 16,911,376 8,455,688 4,227,844 2,113,922 1,056,961 3,170,884 1,585,442 792,721 2,378,164 1,189,082 594,541 1,783,624 891,812 445,906 222,953 668,860 334,430 167,215 501,646 250,823 752,470 376,235 1,128,706 564,353 1,693,060 846,530 423,265

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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