λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,151,142
10,151,142
2 × 3 × 17 × 23 × 4327
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 23 × 4327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,436,352
Proper Divisor Sum 12,285,210
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #10151137 ← → #10151153

Radix Representation

Decimal 10151142
Binary 100110101110010011100110 (24 bits)
Octal 0o46562346
Hexadecimal 0x9AE4E6

Divisor Catalog (32)

1 2 3 6 17 23 34 46 51 69 102 138 391 782 1,173 2,346 4,327 8,654 12,981 25,962 73,559 99,521 147,118 199,042 220,677 298,563 441,354 597,126 1,691,857 3,383,714 5,075,571 10,151,142

Collatz Trajectory (269 steps to reach 1)

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

10,151,142 5,075,571 15,226,714 7,613,357 22,840,072 11,420,036 5,710,018 2,855,009 8,565,028 4,282,514 2,141,257 6,423,772 3,211,886 1,605,943 4,817,830 2,408,915 7,226,746 3,613,373 10,840,120 5,420,060 2,710,030 1,355,015 4,065,046 2,032,523 6,097,570 3,048,785 9,146,356 4,573,178 2,286,589 6,859,768 3,429,884 1,714,942 857,471 2,572,414 1,286,207 3,858,622 1,929,311 5,787,934 2,893,967 8,681,902 4,340,951 13,022,854 6,511,427 19,534,282 9,767,141 29,301,424 14,650,712 7,325,356 3,662,678 1,831,339 5,494,018 2,747,009 8,241,028 4,120,514 2,060,257 6,180,772 3,090,386 1,545,193 4,635,580 2,317,790

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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