λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,704,620
7,704,620
22 × 5 × 7 × 11 × 5003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 5003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,176,128
Proper Divisor Sum 12,471,508
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7704617 ← → #7704623

Radix Representation

Decimal 7704620
Binary 11101011001000000101100 (23 bits)
Octal 0o35310054
Hexadecimal 0x75902C

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 5,003 10,006 20,012 25,015 35,021 50,030 55,033 70,042 100,060 110,066 140,084 175,105 220,132 275,165 350,210 385,231 550,330 700,420 770,462 1,100,660 1,540,924 1,926,155 3,852,310 7,704,620

Collatz Trajectory (54 steps to reach 1)

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

7,704,620 3,852,310 1,926,155 5,778,466 2,889,233 8,667,700 4,333,850 2,166,925 6,500,776 3,250,388 1,625,194 812,597 2,437,792 1,218,896 609,448 304,724 152,362 76,181 228,544 114,272 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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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