λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,142,012
4,142,012
22 × 7 × 29 × 5101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 5101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,571,360
Proper Divisor Sum 4,429,348
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4142011 ← → #4142023

Radix Representation

Decimal 4142012
Binary 1111110011001110111100 (22 bits)
Octal 0o17631674
Hexadecimal 0x3F33BC

Divisor Catalog (24)

1 2 4 7 14 28 29 58 116 203 406 812 5,101 10,202 20,404 35,707 71,414 142,828 147,929 295,858 591,716 1,035,503 2,071,006 4,142,012

Collatz Trajectory (260 steps to reach 1)

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

4,142,012 2,071,006 1,035,503 3,106,510 1,553,255 4,659,766 2,329,883 6,989,650 3,494,825 10,484,476 5,242,238 2,621,119 7,863,358 3,931,679 11,795,038 5,897,519 17,692,558 8,846,279 26,538,838 13,269,419 39,808,258 19,904,129 59,712,388 29,856,194 14,928,097 44,784,292 22,392,146 11,196,073 33,588,220 16,794,110 8,397,055 25,191,166 12,595,583 37,786,750 18,893,375 56,680,126 28,340,063 85,020,190 42,510,095 127,530,286 63,765,143 191,295,430 95,647,715 286,943,146 143,471,573 430,414,720 215,207,360 107,603,680 53,801,840 26,900,920 13,450,460 6,725,230 3,362,615 10,087,846 5,043,923 15,131,770 7,565,885 22,697,656 11,348,828 5,674,414

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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