λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,880,775
17,880,775
52 × 112 × 23 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 11^2 × 23 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,529,616
Proper Divisor Sum 7,648,841
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17880763 ← → #17880799

Radix Representation

Decimal 17880775
Binary 1000100001101011011000111 (25 bits)
Octal 0o104153307
Hexadecimal 0x110D6C7

Divisor Catalog (36)

1 5 11 23 25 55 115 121 253 257 275 575 605 1,265 1,285 2,783 2,827 3,025 5,911 6,325 6,425 13,915 14,135 29,555 31,097 65,021 69,575 70,675 147,775 155,485 325,105 715,231 777,425 1,625,525 3,576,155 17,880,775

Collatz Trajectory (182 steps to reach 1)

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

17,880,775 53,642,326 26,821,163 80,463,490 40,231,745 120,695,236 60,347,618 30,173,809 90,521,428 45,260,714 22,630,357 67,891,072 33,945,536 16,972,768 8,486,384 4,243,192 2,121,596 1,060,798 530,399 1,591,198 795,599 2,386,798 1,193,399 3,580,198 1,790,099 5,370,298 2,685,149 8,055,448 4,027,724 2,013,862 1,006,931 3,020,794 1,510,397 4,531,192 2,265,596 1,132,798 566,399 1,699,198 849,599 2,548,798 1,274,399 3,823,198 1,911,599 5,734,798 2,867,399 8,602,198 4,301,099 12,903,298 6,451,649 19,354,948 9,677,474 4,838,737 14,516,212 7,258,106 3,629,053 10,887,160 5,443,580 2,721,790 1,360,895 4,082,686

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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