λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,000,670
5,000,670
2 × 33 × 5 × 18521
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 18521
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,335,840
Proper Divisor Sum 8,335,170
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5000657 ← → #5000687

Radix Representation

Decimal 5000670
Binary 10011000100110111011110 (23 bits)
Octal 0o23046736
Hexadecimal 0x4C4DDE

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 18,521 37,042 55,563 92,605 111,126 166,689 185,210 277,815 333,378 500,067 555,630 833,445 1,000,134 1,666,890 2,500,335 5,000,670

Collatz Trajectory (136 steps to reach 1)

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

5,000,670 2,500,335 7,501,006 3,750,503 11,251,510 5,625,755 16,877,266 8,438,633 25,315,900 12,657,950 6,328,975 18,986,926 9,493,463 28,480,390 14,240,195 42,720,586 21,360,293 64,080,880 32,040,440 16,020,220 8,010,110 4,005,055 12,015,166 6,007,583 18,022,750 9,011,375 27,034,126 13,517,063 40,551,190 20,275,595 60,826,786 30,413,393 91,240,180 45,620,090 22,810,045 68,430,136 34,215,068 17,107,534 8,553,767 25,661,302 12,830,651 38,491,954 19,245,977 57,737,932 28,868,966 14,434,483 43,303,450 21,651,725 64,955,176 32,477,588 16,238,794 8,119,397 24,358,192 12,179,096 6,089,548 3,044,774 1,522,387 4,567,162 2,283,581 6,850,744

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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