λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,601,200
7,601,200
24 × 52 × 31 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 31 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 18,881,728
Proper Divisor Sum 11,280,528
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7601183 ← → #7601213

Radix Representation

Decimal 7601200
Binary 11100111111110000110000 (23 bits)
Octal 0o34776060
Hexadecimal 0x73FC30

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 613 620 775 1,226 1,240 1,550 2,452 2,480 3,065 3,100 4,904 6,130 6,200 9,808 12,260 12,400 15,325 19,003 24,520 30,650 38,006 49,040 61,300 76,012 95,015 122,600 152,024 190,030 245,200 304,048 380,060 475,075 760,120 950,150 1,520,240 1,900,300 3,800,600 7,601,200

Collatz Trajectory (129 steps to reach 1)

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

7,601,200 3,800,600 1,900,300 950,150 475,075 1,425,226 712,613 2,137,840 1,068,920 534,460 267,230 133,615 400,846 200,423 601,270 300,635 901,906 450,953 1,352,860 676,430 338,215 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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