λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,420,150
48,420,150
2 × 3 × 52 × 43 × 7507
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 43 × 7507
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 122,890,944
Proper Divisor Sum 74,470,794
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #48420149 ← → #48420157

Radix Representation

Decimal 48420150
Binary 10111000101101010100110110 (26 bits)
Octal 0o270552466
Hexadecimal 0x2E2D536

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 258 430 645 1,075 1,290 2,150 3,225 6,450 7,507 15,014 22,521 37,535 45,042 75,070 112,605 187,675 225,210 322,801 375,350 563,025 645,602 968,403 1,126,050 1,614,005 1,936,806 3,228,010 4,842,015 8,070,025 9,684,030 16,140,050 24,210,075 48,420,150

Collatz Trajectory (230 steps to reach 1)

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

48,420,150 24,210,075 72,630,226 36,315,113 108,945,340 54,472,670 27,236,335 81,709,006 40,854,503 122,563,510 61,281,755 183,845,266 91,922,633 275,767,900 137,883,950 68,941,975 206,825,926 103,412,963 310,238,890 155,119,445 465,358,336 232,679,168 116,339,584 58,169,792 29,084,896 14,542,448 7,271,224 3,635,612 1,817,806 908,903 2,726,710 1,363,355 4,090,066 2,045,033 6,135,100 3,067,550 1,533,775 4,601,326 2,300,663 6,901,990 3,450,995 10,352,986 5,176,493 15,529,480 7,764,740 3,882,370 1,941,185 5,823,556 2,911,778 1,455,889 4,367,668 2,183,834 1,091,917 3,275,752 1,637,876 818,938 409,469 1,228,408 614,204 307,102

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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