λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,460
10,071,460
22 × 5 × 72 × 43 × 239
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 43 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 25,280,640
Proper Divisor Sum 15,209,180
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #10071433 ← → #10071487

Radix Representation

Decimal 10071460
Binary 100110011010110110100100 (24 bits)
Octal 0o46326644
Hexadecimal 0x99ADA4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 239 245 301 430 478 490 602 860 956 980 1,195 1,204 1,505 1,673 2,107 2,390 3,010 3,346 4,214 4,780 6,020 6,692 8,365 8,428 10,277 10,535 11,711 16,730 20,554 21,070 23,422 33,460 41,108 42,140 46,844 51,385 58,555 71,939 102,770 117,110 143,878

Collatz Trajectory (207 steps to reach 1)

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

10,071,460 5,035,730 2,517,865 7,553,596 3,776,798 1,888,399 5,665,198 2,832,599 8,497,798 4,248,899 12,746,698 6,373,349 19,120,048 9,560,024 4,780,012 2,390,006 1,195,003 3,585,010 1,792,505 5,377,516 2,688,758 1,344,379 4,033,138 2,016,569 6,049,708 3,024,854 1,512,427 4,537,282 2,268,641 6,805,924 3,402,962 1,701,481 5,104,444 2,552,222 1,276,111 3,828,334 1,914,167 5,742,502 2,871,251 8,613,754 4,306,877 12,920,632 6,460,316 3,230,158 1,615,079 4,845,238 2,422,619 7,267,858 3,633,929 10,901,788 5,450,894 2,725,447 8,176,342 4,088,171 12,264,514 6,132,257 18,396,772 9,198,386 4,599,193 13,797,580

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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