λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,887,774
4,887,774
2 × 32 × 37 × 41 × 179
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 41 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,203,920
Proper Divisor Sum 6,316,146
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #4887763 ← → #4887781

Radix Representation

Decimal 4887774
Binary 10010101001010011011110 (23 bits)
Octal 0o22512336
Hexadecimal 0x4A94DE

Divisor Catalog (48)

1 2 3 6 9 18 37 41 74 82 111 123 179 222 246 333 358 369 537 666 738 1,074 1,517 1,611 3,034 3,222 4,551 6,623 7,339 9,102 13,246 13,653 14,678 19,869 22,017 27,306 39,738 44,034 59,607 66,051 119,214 132,102 271,543 543,086 814,629 1,629,258 2,443,887 4,887,774

Collatz Trajectory (175 steps to reach 1)

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

4,887,774 2,443,887 7,331,662 3,665,831 10,997,494 5,498,747 16,496,242 8,248,121 24,744,364 12,372,182 6,186,091 18,558,274 9,279,137 27,837,412 13,918,706 6,959,353 20,878,060 10,439,030 5,219,515 15,658,546 7,829,273 23,487,820 11,743,910 5,871,955 17,615,866 8,807,933 26,423,800 13,211,900 6,605,950 3,302,975 9,908,926 4,954,463 14,863,390 7,431,695 22,295,086 11,147,543 33,442,630 16,721,315 50,163,946 25,081,973 75,245,920 37,622,960 18,811,480 9,405,740 4,702,870 2,351,435 7,054,306 3,527,153 10,581,460 5,290,730 2,645,365 7,936,096 3,968,048 1,984,024 992,012 496,006 248,003 744,010 372,005 1,116,016

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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