λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,246,738
42,246,738
2 × 33 × 31 × 25237
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 25237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 96,913,920
Proper Divisor Sum 54,667,182
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #42246733 ← → #42246739

Radix Representation

Decimal 42246738
Binary 10100001001010001001010010 (26 bits)
Octal 0o241121122
Hexadecimal 0x284A252

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 25,237 50,474 75,711 151,422 227,133 454,266 681,399 782,347 1,362,798 1,564,694 2,347,041 4,694,082 7,041,123 14,082,246 21,123,369 42,246,738

Collatz Trajectory (222 steps to reach 1)

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

42,246,738 21,123,369 63,370,108 31,685,054 15,842,527 47,527,582 23,763,791 71,291,374 35,645,687 106,937,062 53,468,531 160,405,594 80,202,797 240,608,392 120,304,196 60,152,098 30,076,049 90,228,148 45,114,074 22,557,037 67,671,112 33,835,556 16,917,778 8,458,889 25,376,668 12,688,334 6,344,167 19,032,502 9,516,251 28,548,754 14,274,377 42,823,132 21,411,566 10,705,783 32,117,350 16,058,675 48,176,026 24,088,013 72,264,040 36,132,020 18,066,010 9,033,005 27,099,016 13,549,508 6,774,754 3,387,377 10,162,132 5,081,066 2,540,533 7,621,600 3,810,800 1,905,400 952,700 476,350 238,175 714,526 357,263 1,071,790 535,895 1,607,686

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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