λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,240,734
10,240,734
2 × 3 × 7 × 19 × 41 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 41 × 313
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,320,960
Proper Divisor Sum 15,080,226
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10240733 ← → #10240759

Radix Representation

Decimal 10240734
Binary 100111000100001011011110 (24 bits)
Octal 0o47041336
Hexadecimal 0x9C42DE

Divisor Catalog (60 of 64)

1 2 3 6 7 14 19 21 38 41 42 57 82 114 123 133 246 266 287 313 399 574 626 779 798 861 939 1,558 1,722 1,878 2,191 2,337 4,382 4,674 5,453 5,947 6,573 10,906 11,894 12,833 13,146 16,359 17,841 25,666 32,718 35,682 38,499 41,629 76,998 83,258 89,831 124,887 179,662 243,827 249,774 269,493 487,654 538,986 731,481 1,462,962

Collatz Trajectory (145 steps to reach 1)

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

10,240,734 5,120,367 15,361,102 7,680,551 23,041,654 11,520,827 34,562,482 17,281,241 51,843,724 25,921,862 12,960,931 38,882,794 19,441,397 58,324,192 29,162,096 14,581,048 7,290,524 3,645,262 1,822,631 5,467,894 2,733,947 8,201,842 4,100,921 12,302,764 6,151,382 3,075,691 9,227,074 4,613,537 13,840,612 6,920,306 3,460,153 10,380,460 5,190,230 2,595,115 7,785,346 3,892,673 11,678,020 5,839,010 2,919,505 8,758,516 4,379,258 2,189,629 6,568,888 3,284,444 1,642,222 821,111 2,463,334 1,231,667 3,695,002 1,847,501 5,542,504 2,771,252 1,385,626 692,813 2,078,440 1,039,220 519,610 259,805 779,416 389,708

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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