λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,906,641
7,906,641
3 × 19 × 23 × 37 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 19 × 23 × 37 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,965,440
Proper Divisor Sum 4,058,799
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7906627 ← → #7906667

Radix Representation

Decimal 7906641
Binary 11110001010010101010001 (23 bits)
Octal 0o36122521
Hexadecimal 0x78A551

Divisor Catalog (32)

1 3 19 23 37 57 69 111 163 437 489 703 851 1,311 2,109 2,553 3,097 3,749 6,031 9,291 11,247 16,169 18,093 48,507 71,231 114,589 138,713 213,693 343,767 416,139 2,635,547 7,906,641

Collatz Trajectory (199 steps to reach 1)

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

7,906,641 23,719,924 11,859,962 5,929,981 17,789,944 8,894,972 4,447,486 2,223,743 6,671,230 3,335,615 10,006,846 5,003,423 15,010,270 7,505,135 22,515,406 11,257,703 33,773,110 16,886,555 50,659,666 25,329,833 75,989,500 37,994,750 18,997,375 56,992,126 28,496,063 85,488,190 42,744,095 128,232,286 64,116,143 192,348,430 96,174,215 288,522,646 144,261,323 432,783,970 216,391,985 649,175,956 324,587,978 162,293,989 486,881,968 243,440,984 121,720,492 60,860,246 30,430,123 91,290,370 45,645,185 136,935,556 68,467,778 34,233,889 102,701,668 51,350,834 25,675,417 77,026,252 38,513,126 19,256,563 57,769,690 28,884,845 86,654,536 43,327,268 21,663,634 10,831,817

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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