λ
Ratio Atlas
Atlas › Integer Profiles › Node 38,123,742
38,123,742
2 × 3 × 23 × 227 × 1217
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 23 × 227 × 1217
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,978,752
Proper Divisor Sum 41,855,010
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #38123717 ← → #38123753

Radix Representation

Decimal 38123742
Binary 10010001011011100011011110 (26 bits)
Octal 0o221334336
Hexadecimal 0x245B8DE

Divisor Catalog (32)

1 2 3 6 23 46 69 138 227 454 681 1,217 1,362 2,434 3,651 5,221 7,302 10,442 15,663 27,991 31,326 55,982 83,973 167,946 276,259 552,518 828,777 1,657,554 6,353,957 12,707,914 19,061,871 38,123,742

Collatz Trajectory (346 steps to reach 1)

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

38,123,742 19,061,871 57,185,614 28,592,807 85,778,422 42,889,211 128,667,634 64,333,817 193,001,452 96,500,726 48,250,363 144,751,090 72,375,545 217,126,636 108,563,318 54,281,659 162,844,978 81,422,489 244,267,468 122,133,734 61,066,867 183,200,602 91,600,301 274,800,904 137,400,452 68,700,226 34,350,113 103,050,340 51,525,170 25,762,585 77,287,756 38,643,878 19,321,939 57,965,818 28,982,909 86,948,728 43,474,364 21,737,182 10,868,591 32,605,774 16,302,887 48,908,662 24,454,331 73,362,994 36,681,497 110,044,492 55,022,246 27,511,123 82,533,370 41,266,685 123,800,056 61,900,028 30,950,014 15,475,007 46,425,022 23,212,511 69,637,534 34,818,767 104,456,302 52,228,151

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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