λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,200,310
7,200,310
2 × 5 × 13 × 97 × 571
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 13 × 97 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,126,112
Proper Divisor Sum 6,925,802
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #7200287 ← → #7200313

Radix Representation

Decimal 7200310
Binary 11011011101111000110110 (23 bits)
Octal 0o33357066
Hexadecimal 0x6DDE36

Divisor Catalog (32)

1 2 5 10 13 26 65 97 130 194 485 571 970 1,142 1,261 2,522 2,855 5,710 6,305 7,423 12,610 14,846 37,115 55,387 74,230 110,774 276,935 553,870 720,031 1,440,062 3,600,155 7,200,310

Collatz Trajectory (266 steps to reach 1)

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

7,200,310 3,600,155 10,800,466 5,400,233 16,200,700 8,100,350 4,050,175 12,150,526 6,075,263 18,225,790 9,112,895 27,338,686 13,669,343 41,008,030 20,504,015 61,512,046 30,756,023 92,268,070 46,134,035 138,402,106 69,201,053 207,603,160 103,801,580 51,900,790 25,950,395 77,851,186 38,925,593 116,776,780 58,388,390 29,194,195 87,582,586 43,791,293 131,373,880 65,686,940 32,843,470 16,421,735 49,265,206 24,632,603 73,897,810 36,948,905 110,846,716 55,423,358 27,711,679 83,135,038 41,567,519 124,702,558 62,351,279 187,053,838 93,526,919 280,580,758 140,290,379 420,871,138 210,435,569 631,306,708 315,653,354 157,826,677 473,480,032 236,740,016 118,370,008 59,185,004

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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