λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,493,650
4,493,650
2 × 52 × 7 × 37 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 37 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,838,656
Proper Divisor Sum 5,345,006
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4493647 ← → #4493651

Radix Representation

Decimal 4493650
Binary 10001001001000101010010 (23 bits)
Octal 0o21110522
Hexadecimal 0x449152

Divisor Catalog (48)

1 2 5 7 10 14 25 35 37 50 70 74 175 185 259 347 350 370 518 694 925 1,295 1,735 1,850 2,429 2,590 3,470 4,858 6,475 8,675 12,145 12,839 12,950 17,350 24,290 25,678 60,725 64,195 89,873 121,450 128,390 179,746 320,975 449,365 641,950 898,730 2,246,825 4,493,650

Collatz Trajectory (162 steps to reach 1)

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

4,493,650 2,246,825 6,740,476 3,370,238 1,685,119 5,055,358 2,527,679 7,583,038 3,791,519 11,374,558 5,687,279 17,061,838 8,530,919 25,592,758 12,796,379 38,389,138 19,194,569 57,583,708 28,791,854 14,395,927 43,187,782 21,593,891 64,781,674 32,390,837 97,172,512 48,586,256 24,293,128 12,146,564 6,073,282 3,036,641 9,109,924 4,554,962 2,277,481 6,832,444 3,416,222 1,708,111 5,124,334 2,562,167 7,686,502 3,843,251 11,529,754 5,764,877 17,294,632 8,647,316 4,323,658 2,161,829 6,485,488 3,242,744 1,621,372 810,686 405,343 1,216,030 608,015 1,824,046 912,023 2,736,070 1,368,035 4,104,106 2,052,053 6,156,160

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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