λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,852,220
4,852,220
22 × 5 × 19 × 1132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 113^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,821,720
Proper Divisor Sum 5,969,500
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4852189 ← → #4852223

Radix Representation

Decimal 4852220
Binary 10010100000100111111100 (23 bits)
Octal 0o22404774
Hexadecimal 0x4A09FC

Divisor Catalog (36)

1 2 4 5 10 19 20 38 76 95 113 190 226 380 452 565 1,130 2,147 2,260 4,294 8,588 10,735 12,769 21,470 25,538 42,940 51,076 63,845 127,690 242,611 255,380 485,222 970,444 1,213,055 2,426,110 4,852,220

Collatz Trajectory (299 steps to reach 1)

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

4,852,220 2,426,110 1,213,055 3,639,166 1,819,583 5,458,750 2,729,375 8,188,126 4,094,063 12,282,190 6,141,095 18,423,286 9,211,643 27,634,930 13,817,465 41,452,396 20,726,198 10,363,099 31,089,298 15,544,649 46,633,948 23,316,974 11,658,487 34,975,462 17,487,731 52,463,194 26,231,597 78,694,792 39,347,396 19,673,698 9,836,849 29,510,548 14,755,274 7,377,637 22,132,912 11,066,456 5,533,228 2,766,614 1,383,307 4,149,922 2,074,961 6,224,884 3,112,442 1,556,221 4,668,664 2,334,332 1,167,166 583,583 1,750,750 875,375 2,626,126 1,313,063 3,939,190 1,969,595 5,908,786 2,954,393 8,863,180 4,431,590 2,215,795 6,647,386

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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