λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,333,378
39,333,378
2 × 3 × 72 × 353 × 379
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 353 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,011,680
Proper Divisor Sum 52,678,302
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #39333377 ← → #39333383

Radix Representation

Decimal 39333378
Binary 10010110000010111000000010 (26 bits)
Octal 0o226027002
Hexadecimal 0x2582E02

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 98 147 294 353 379 706 758 1,059 1,137 2,118 2,274 2,471 2,653 4,942 5,306 7,413 7,959 14,826 15,918 17,297 18,571 34,594 37,142 51,891 55,713 103,782 111,426 133,787 267,574 401,361 802,722 936,509 1,873,018 2,809,527 5,619,054 6,555,563 13,111,126 19,666,689 39,333,378

Collatz Trajectory (170 steps to reach 1)

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

39,333,378 19,666,689 59,000,068 29,500,034 14,750,017 44,250,052 22,125,026 11,062,513 33,187,540 16,593,770 8,296,885 24,890,656 12,445,328 6,222,664 3,111,332 1,555,666 777,833 2,333,500 1,166,750 583,375 1,750,126 875,063 2,625,190 1,312,595 3,937,786 1,968,893 5,906,680 2,953,340 1,476,670 738,335 2,215,006 1,107,503 3,322,510 1,661,255 4,983,766 2,491,883 7,475,650 3,737,825 11,213,476 5,606,738 2,803,369 8,410,108 4,205,054 2,102,527 6,307,582 3,153,791 9,461,374 4,730,687 14,192,062 7,096,031 21,288,094 10,644,047 31,932,142 15,966,071 47,898,214 23,949,107 71,847,322 35,923,661 107,770,984 53,885,492

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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