λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,530,716
48,530,716
22 × 132 × 17 × 41 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13^2 × 17 × 41 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 100,717,344
Proper Divisor Sum 52,186,628
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48530711 ← → #48530723

Radix Representation

Decimal 48530716
Binary 10111001001000010100011100 (26 bits)
Octal 0o271102434
Hexadecimal 0x2E4851C

Divisor Catalog (60 of 72)

1 2 4 13 17 26 34 41 52 68 82 103 164 169 206 221 338 412 442 533 676 697 884 1,066 1,339 1,394 1,751 2,132 2,678 2,788 2,873 3,502 4,223 5,356 5,746 6,929 7,004 8,446 9,061 11,492 13,858 16,892 17,407 18,122 22,763 27,716 34,814 36,244 45,526 54,899 69,628 71,791 91,052 109,798 117,793 143,582 219,596 235,586 287,164 295,919

Collatz Trajectory (230 steps to reach 1)

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

48,530,716 24,265,358 12,132,679 36,398,038 18,199,019 54,597,058 27,298,529 81,895,588 40,947,794 20,473,897 61,421,692 30,710,846 15,355,423 46,066,270 23,033,135 69,099,406 34,549,703 103,649,110 51,824,555 155,473,666 77,736,833 233,210,500 116,605,250 58,302,625 174,907,876 87,453,938 43,726,969 131,180,908 65,590,454 32,795,227 98,385,682 49,192,841 147,578,524 73,789,262 36,894,631 110,683,894 55,341,947 166,025,842 83,012,921 249,038,764 124,519,382 62,259,691 186,779,074 93,389,537 280,168,612 140,084,306 70,042,153 210,126,460 105,063,230 52,531,615 157,594,846 78,797,423 236,392,270 118,196,135 354,588,406 177,294,203 531,882,610 265,941,305 797,823,916 398,911,958

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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