λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,548,046
47,548,046
2 × 7 × 13 × 79 × 3307
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 79 × 3307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,919,040
Proper Divisor Sum 41,370,994
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #47548043 ← → #47548057

Radix Representation

Decimal 47548046
Binary 10110101011000011010001110 (26 bits)
Octal 0o265303216
Hexadecimal 0x2D5868E

Divisor Catalog (32)

1 2 7 13 14 26 79 91 158 182 553 1,027 1,106 2,054 3,307 6,614 7,189 14,378 23,149 42,991 46,298 85,982 261,253 300,937 522,506 601,874 1,828,771 3,396,289 3,657,542 6,792,578 23,774,023 47,548,046

Collatz Trajectory (199 steps to reach 1)

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

47,548,046 23,774,023 71,322,070 35,661,035 106,983,106 53,491,553 160,474,660 80,237,330 40,118,665 120,355,996 60,177,998 30,088,999 90,266,998 45,133,499 135,400,498 67,700,249 203,100,748 101,550,374 50,775,187 152,325,562 76,162,781 228,488,344 114,244,172 57,122,086 28,561,043 85,683,130 42,841,565 128,524,696 64,262,348 32,131,174 16,065,587 48,196,762 24,098,381 72,295,144 36,147,572 18,073,786 9,036,893 27,110,680 13,555,340 6,777,670 3,388,835 10,166,506 5,083,253 15,249,760 7,624,880 3,812,440 1,906,220 953,110 476,555 1,429,666 714,833 2,144,500 1,072,250 536,125 1,608,376 804,188 402,094 201,047 603,142 301,571

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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