λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,619,005
48,619,005
3 × 5 × 19 × 31 × 5503
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19 × 31 × 5503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,541,440
Proper Divisor Sum 35,922,435
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #48618961 ← → #48619007

Radix Representation

Decimal 48619005
Binary 10111001011101110111111101 (26 bits)
Octal 0o271356775
Hexadecimal 0x2E5DDFD

Divisor Catalog (32)

1 3 5 15 19 31 57 93 95 155 285 465 589 1,767 2,945 5,503 8,835 16,509 27,515 82,545 104,557 170,593 313,671 511,779 522,785 852,965 1,568,355 2,558,895 3,241,267 9,723,801 16,206,335 48,619,005

Collatz Trajectory (199 steps to reach 1)

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

48,619,005 145,857,016 72,928,508 36,464,254 18,232,127 54,696,382 27,348,191 82,044,574 41,022,287 123,066,862 61,533,431 184,600,294 92,300,147 276,900,442 138,450,221 415,350,664 207,675,332 103,837,666 51,918,833 155,756,500 77,878,250 38,939,125 116,817,376 58,408,688 29,204,344 14,602,172 7,301,086 3,650,543 10,951,630 5,475,815 16,427,446 8,213,723 24,641,170 12,320,585 36,961,756 18,480,878 9,240,439 27,721,318 13,860,659 41,581,978 20,790,989 62,372,968 31,186,484 15,593,242 7,796,621 23,389,864 11,694,932 5,847,466 2,923,733 8,771,200 4,385,600 2,192,800 1,096,400 548,200 274,100 137,050 68,525 205,576 102,788 51,394

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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