λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,522,105
48,522,105
33 × 5 × 19 × 18917
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 19 × 18917
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,806,400
Proper Divisor Sum 42,284,295
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #48522101 ← → #48522109

Radix Representation

Decimal 48522105
Binary 10111001000110001101111001 (26 bits)
Octal 0o271061571
Hexadecimal 0x2E46379

Divisor Catalog (32)

1 3 5 9 15 19 27 45 57 95 135 171 285 513 855 2,565 18,917 56,751 94,585 170,253 283,755 359,423 510,759 851,265 1,078,269 1,797,115 2,553,795 3,234,807 5,391,345 9,704,421 16,174,035 48,522,105

Collatz Trajectory (217 steps to reach 1)

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

48,522,105 145,566,316 72,783,158 36,391,579 109,174,738 54,587,369 163,762,108 81,881,054 40,940,527 122,821,582 61,410,791 184,232,374 92,116,187 276,348,562 138,174,281 414,522,844 207,261,422 103,630,711 310,892,134 155,446,067 466,338,202 233,169,101 699,507,304 349,753,652 174,876,826 87,438,413 262,315,240 131,157,620 65,578,810 32,789,405 98,368,216 49,184,108 24,592,054 12,296,027 36,888,082 18,444,041 55,332,124 27,666,062 13,833,031 41,499,094 20,749,547 62,248,642 31,124,321 93,372,964 46,686,482 23,343,241 70,029,724 35,014,862 17,507,431 52,522,294 26,261,147 78,783,442 39,391,721 118,175,164 59,087,582 29,543,791 88,631,374 44,315,687 132,947,062 66,473,531

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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