λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,108,715
9,108,715
5 × 7 × 11 × 59 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 59 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,893,120
Proper Divisor Sum 4,784,405
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9108709 ← → #9108727

Radix Representation

Decimal 9108715
Binary 100010101111110011101011 (24 bits)
Octal 0o42576353
Hexadecimal 0x8AFCEB

Divisor Catalog (32)

1 5 7 11 35 55 59 77 295 385 401 413 649 2,005 2,065 2,807 3,245 4,411 4,543 14,035 22,055 22,715 23,659 30,877 118,295 154,385 165,613 260,249 828,065 1,301,245 1,821,743 9,108,715

Collatz Trajectory (243 steps to reach 1)

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

9,108,715 27,326,146 13,663,073 40,989,220 20,494,610 10,247,305 30,741,916 15,370,958 7,685,479 23,056,438 11,528,219 34,584,658 17,292,329 51,876,988 25,938,494 12,969,247 38,907,742 19,453,871 58,361,614 29,180,807 87,542,422 43,771,211 131,313,634 65,656,817 196,970,452 98,485,226 49,242,613 147,727,840 73,863,920 36,931,960 18,465,980 9,232,990 4,616,495 13,849,486 6,924,743 20,774,230 10,387,115 31,161,346 15,580,673 46,742,020 23,371,010 11,685,505 35,056,516 17,528,258 8,764,129 26,292,388 13,146,194 6,573,097 19,719,292 9,859,646 4,929,823 14,789,470 7,394,735 22,184,206 11,092,103 33,276,310 16,638,155 49,914,466 24,957,233 74,871,700

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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