λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,321,904
42,321,904
24 × 29 × 197 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 29 × 197 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 85,440,960
Proper Divisor Sum 43,119,056
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #42321871 ← → #42321907

Radix Representation

Decimal 42321904
Binary 10100001011100011111110000 (26 bits)
Octal 0o241343760
Hexadecimal 0x285C7F0

Divisor Catalog (40)

1 2 4 8 16 29 58 116 197 232 394 463 464 788 926 1,576 1,852 3,152 3,704 5,713 7,408 11,426 13,427 22,852 26,854 45,704 53,708 91,211 91,408 107,416 182,422 214,832 364,844 729,688 1,459,376 2,645,119 5,290,238 10,580,476 21,160,952 42,321,904

Collatz Trajectory (178 steps to reach 1)

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

42,321,904 21,160,952 10,580,476 5,290,238 2,645,119 7,935,358 3,967,679 11,903,038 5,951,519 17,854,558 8,927,279 26,781,838 13,390,919 40,172,758 20,086,379 60,259,138 30,129,569 90,388,708 45,194,354 22,597,177 67,791,532 33,895,766 16,947,883 50,843,650 25,421,825 76,265,476 38,132,738 19,066,369 57,199,108 28,599,554 14,299,777 42,899,332 21,449,666 10,724,833 32,174,500 16,087,250 8,043,625 24,130,876 12,065,438 6,032,719 18,098,158 9,049,079 27,147,238 13,573,619 40,720,858 20,360,429 61,081,288 30,540,644 15,270,322 7,635,161 22,905,484 11,452,742 5,726,371 17,179,114 8,589,557 25,768,672 12,884,336 6,442,168 3,221,084 1,610,542

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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