λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,110,035
5,110,035
3 × 5 × 7 × 41 × 1187
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 1187
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,580,032
Proper Divisor Sum 4,469,997
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5110019 ← → #5110037

Radix Representation

Decimal 5110035
Binary 10011011111100100010011 (23 bits)
Octal 0o23374423
Hexadecimal 0x4DF913

Divisor Catalog (32)

1 3 5 7 15 21 35 41 105 123 205 287 615 861 1,187 1,435 3,561 4,305 5,935 8,309 17,805 24,927 41,545 48,667 124,635 146,001 243,335 340,669 730,005 1,022,007 1,703,345 5,110,035

Collatz Trajectory (188 steps to reach 1)

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

5,110,035 15,330,106 7,665,053 22,995,160 11,497,580 5,748,790 2,874,395 8,623,186 4,311,593 12,934,780 6,467,390 3,233,695 9,701,086 4,850,543 14,551,630 7,275,815 21,827,446 10,913,723 32,741,170 16,370,585 49,111,756 24,555,878 12,277,939 36,833,818 18,416,909 55,250,728 27,625,364 13,812,682 6,906,341 20,719,024 10,359,512 5,179,756 2,589,878 1,294,939 3,884,818 1,942,409 5,827,228 2,913,614 1,456,807 4,370,422 2,185,211 6,555,634 3,277,817 9,833,452 4,916,726 2,458,363 7,375,090 3,687,545 11,062,636 5,531,318 2,765,659 8,296,978 4,148,489 12,445,468 6,222,734 3,111,367 9,334,102 4,667,051 14,001,154 7,000,577

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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