λ
Ratio Atlas
Atlas › Integer Profiles › Node 223,231
223,231
19 × 31 × 379
Deficient Odd Composite

Prime Factor Structure

Factorization String 19 × 31 × 379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 243,200
Proper Divisor Sum 19,969
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #223229 ← → #223241

Radix Representation

Decimal 223231
Binary 110110011111111111 (18 bits)
Octal 0o663777
Hexadecimal 0x367FF

Divisor Catalog (8)

1 19 31 379 589 7,201 11,749 223,231

Collatz Trajectory (230 steps to reach 1)

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

223,231 669,694 334,847 1,004,542 502,271 1,506,814 753,407 2,260,222 1,130,111 3,390,334 1,695,167 5,085,502 2,542,751 7,628,254 3,814,127 11,442,382 5,721,191 17,163,574 8,581,787 25,745,362 12,872,681 38,618,044 19,309,022 9,654,511 28,963,534 14,481,767 43,445,302 21,722,651 65,167,954 32,583,977 97,751,932 48,875,966 24,437,983 73,313,950 36,656,975 109,970,926 54,985,463 164,956,390 82,478,195 247,434,586 123,717,293 371,151,880 185,575,940 92,787,970 46,393,985 139,181,956 69,590,978 34,795,489 104,386,468 52,193,234 26,096,617 78,289,852 39,144,926 19,572,463 58,717,390 29,358,695 88,076,086 44,038,043 132,114,130 66,057,065

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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