λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,390
10,071,390
2 × 3 × 5 × 7 × 199 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 199 × 241
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,878,400
Proper Divisor Sum 17,807,010
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10071389 ← → #10071403

Radix Representation

Decimal 10071390
Binary 100110011010110101011110 (24 bits)
Octal 0o46326536
Hexadecimal 0x99AD5E

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 241 398 482 597 723 995 1,194 1,205 1,393 1,446 1,687 1,990 2,410 2,786 2,985 3,374 3,615 4,179 5,061 5,970 6,965 7,230 8,358 8,435 10,122 13,930 16,870 20,895 25,305 41,790 47,959 50,610 95,918 143,877 239,795 287,754 335,713 479,590 671,426 719,385 1,007,139 1,438,770 1,678,565

Collatz Trajectory (251 steps to reach 1)

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

10,071,390 5,035,695 15,107,086 7,553,543 22,660,630 11,330,315 33,990,946 16,995,473 50,986,420 25,493,210 12,746,605 38,239,816 19,119,908 9,559,954 4,779,977 14,339,932 7,169,966 3,584,983 10,754,950 5,377,475 16,132,426 8,066,213 24,198,640 12,099,320 6,049,660 3,024,830 1,512,415 4,537,246 2,268,623 6,805,870 3,402,935 10,208,806 5,104,403 15,313,210 7,656,605 22,969,816 11,484,908 5,742,454 2,871,227 8,613,682 4,306,841 12,920,524 6,460,262 3,230,131 9,690,394 4,845,197 14,535,592 7,267,796 3,633,898 1,816,949 5,450,848 2,725,424 1,362,712 681,356 340,678 170,339 511,018 255,509 766,528 383,264

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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