λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,734,369
57,734,369
7 × 11 × 192 × 31 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11 × 19^2 × 31 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,589,376
Proper Divisor Sum 21,855,007
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57734359 ← → #57734399

Radix Representation

Decimal 57734369
Binary 11011100001111010011100001 (26 bits)
Octal 0o334172341
Hexadecimal 0x370F4E1

Divisor Catalog (48)

1 7 11 19 31 67 77 133 209 217 341 361 469 589 737 1,273 1,463 2,077 2,387 2,527 3,971 4,123 5,159 6,479 8,911 11,191 14,003 14,539 22,847 24,187 27,797 39,463 45,353 78,337 98,021 123,101 159,929 169,309 266,057 276,241 434,093 749,797 861,707 1,862,399 3,038,651 5,248,579 8,247,767 57,734,369

Collatz Trajectory (300 steps to reach 1)

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

57,734,369 173,203,108 86,601,554 43,300,777 129,902,332 64,951,166 32,475,583 97,426,750 48,713,375 146,140,126 73,070,063 219,210,190 109,605,095 328,815,286 164,407,643 493,222,930 246,611,465 739,834,396 369,917,198 184,958,599 554,875,798 277,437,899 832,313,698 416,156,849 1,248,470,548 624,235,274 312,117,637 936,352,912 468,176,456 234,088,228 117,044,114 58,522,057 175,566,172 87,783,086 43,891,543 131,674,630 65,837,315 197,511,946 98,755,973 296,267,920 148,133,960 74,066,980 37,033,490 18,516,745 55,550,236 27,775,118 13,887,559 41,662,678 20,831,339 62,494,018 31,247,009 93,741,028 46,870,514 23,435,257 70,305,772 35,152,886 17,576,443 52,729,330 26,364,665 79,093,996

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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