λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,436,610
47,436,610
2 × 5 × 132 × 28069
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 28069
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 92,462,580
Proper Divisor Sum 45,025,970
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #47436601 ← → #47436617

Radix Representation

Decimal 47436610
Binary 10110100111101001101000010 (26 bits)
Octal 0o264751502
Hexadecimal 0x2D3D342

Divisor Catalog (24)

1 2 5 10 13 26 65 130 169 338 845 1,690 28,069 56,138 140,345 280,690 364,897 729,794 1,824,485 3,648,970 4,743,661 9,487,322 23,718,305 47,436,610

Collatz Trajectory (147 steps to reach 1)

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

47,436,610 23,718,305 71,154,916 35,577,458 17,788,729 53,366,188 26,683,094 13,341,547 40,024,642 20,012,321 60,036,964 30,018,482 15,009,241 45,027,724 22,513,862 11,256,931 33,770,794 16,885,397 50,656,192 25,328,096 12,664,048 6,332,024 3,166,012 1,583,006 791,503 2,374,510 1,187,255 3,561,766 1,780,883 5,342,650 2,671,325 8,013,976 4,006,988 2,003,494 1,001,747 3,005,242 1,502,621 4,507,864 2,253,932 1,126,966 563,483 1,690,450 845,225 2,535,676 1,267,838 633,919 1,901,758 950,879 2,852,638 1,426,319 4,278,958 2,139,479 6,418,438 3,209,219 9,627,658 4,813,829 14,441,488 7,220,744 3,610,372 1,805,186

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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