λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,000,600
5,000,600
23 × 52 × 11 × 2273
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 11 × 2273
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,688,920
Proper Divisor Sum 7,688,320
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #5000581 ← → #5000623

Radix Representation

Decimal 5000600
Binary 10011000100110110011000 (23 bits)
Octal 0o23046630
Hexadecimal 0x4C4D98

Divisor Catalog (48)

1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1,100 2,200 2,273 4,546 9,092 11,365 18,184 22,730 25,003 45,460 50,006 56,825 90,920 100,012 113,650 125,015 200,024 227,300 250,030 454,600 500,060 625,075 1,000,120 1,250,150 2,500,300 5,000,600

Collatz Trajectory (113 steps to reach 1)

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

5,000,600 2,500,300 1,250,150 625,075 1,875,226 937,613 2,812,840 1,406,420 703,210 351,605 1,054,816 527,408 263,704 131,852 65,926 32,963 98,890 49,445 148,336 74,168 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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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