λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,409,750
5,409,750
2 × 3 × 53 × 7213
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 7213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,504,608
Proper Divisor Sum 8,094,858
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5409721 ← → #5409751

Radix Representation

Decimal 5409750
Binary 10100101000101111010110 (23 bits)
Octal 0o24505726
Hexadecimal 0x528BD6

Divisor Catalog (32)

1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 7,213 14,426 21,639 36,065 43,278 72,130 108,195 180,325 216,390 360,650 540,975 901,625 1,081,950 1,803,250 2,704,875 5,409,750

Collatz Trajectory (175 steps to reach 1)

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

5,409,750 2,704,875 8,114,626 4,057,313 12,171,940 6,085,970 3,042,985 9,128,956 4,564,478 2,282,239 6,846,718 3,423,359 10,270,078 5,135,039 15,405,118 7,702,559 23,107,678 11,553,839 34,661,518 17,330,759 51,992,278 25,996,139 77,988,418 38,994,209 116,982,628 58,491,314 29,245,657 87,736,972 43,868,486 21,934,243 65,802,730 32,901,365 98,704,096 49,352,048 24,676,024 12,338,012 6,169,006 3,084,503 9,253,510 4,626,755 13,880,266 6,940,133 20,820,400 10,410,200 5,205,100 2,602,550 1,301,275 3,903,826 1,951,913 5,855,740 2,927,870 1,463,935 4,391,806 2,195,903 6,587,710 3,293,855 9,881,566 4,940,783 14,822,350 7,411,175

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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