λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,494,400
4,494,400
26 × 52 × 532
Abundant Even Composite Square (√ = 2120)

Prime Factor Structure

Factorization String 2^6 × 5^2 × 53^2
Distinct Prime Factors 3
Square Status Yes (√4494400 = 2120)
Abundance Measure Abundant

Analytical Properties

Total Divisors 63
Divisor Sum (σ) 11,271,631
Proper Divisor Sum 6,777,231
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4494383 ← → #4494401

Radix Representation

Decimal 4494400
Binary 10001001001010001000000 (23 bits)
Octal 0o21112100
Hexadecimal 0x449440

Divisor Catalog (60 of 63)

1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 160 200 212 265 320 400 424 530 800 848 1,060 1,325 1,600 1,696 2,120 2,650 2,809 3,392 4,240 5,300 5,618 8,480 10,600 11,236 14,045 16,960 21,200 22,472 28,090 42,400 44,944 56,180 70,225 84,800 89,888 112,360 140,450 179,776 224,720 280,900 449,440 561,800 898,880

Collatz Trajectory (180 steps to reach 1)

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

4,494,400 2,247,200 1,123,600 561,800 280,900 140,450 70,225 210,676 105,338 52,669 158,008 79,004 39,502 19,751 59,254 29,627 88,882 44,441 133,324 66,662 33,331 99,994 49,997 149,992 74,996 37,498 18,749 56,248 28,124 14,062 7,031 21,094 10,547 31,642 15,821 47,464 23,732 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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