λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,100,720
42,100,720
24 × 5 × 47 × 11197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 11197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 99,975,744
Proper Divisor Sum 57,875,024
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #42100703 ← → #42100733

Radix Representation

Decimal 42100720
Binary 10100000100110011111110000 (26 bits)
Octal 0o240463760
Hexadecimal 0x28267F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 3,760 11,197 22,394 44,788 55,985 89,576 111,970 179,152 223,940 447,880 526,259 895,760 1,052,518 2,105,036 2,631,295 4,210,072 5,262,590 8,420,144 10,525,180 21,050,360 42,100,720

Collatz Trajectory (152 steps to reach 1)

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

42,100,720 21,050,360 10,525,180 5,262,590 2,631,295 7,893,886 3,946,943 11,840,830 5,920,415 17,761,246 8,880,623 26,641,870 13,320,935 39,962,806 19,981,403 59,944,210 29,972,105 89,916,316 44,958,158 22,479,079 67,437,238 33,718,619 101,155,858 50,577,929 151,733,788 75,866,894 37,933,447 113,800,342 56,900,171 170,700,514 85,350,257 256,050,772 128,025,386 64,012,693 192,038,080 96,019,040 48,009,520 24,004,760 12,002,380 6,001,190 3,000,595 9,001,786 4,500,893 13,502,680 6,751,340 3,375,670 1,687,835 5,063,506 2,531,753 7,595,260 3,797,630 1,898,815 5,696,446 2,848,223 8,544,670 4,272,335 12,817,006 6,408,503 19,225,510 9,612,755

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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