λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,200,330
3,200,330
2 × 5 × 7 × 131 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 131 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,652,800
Proper Divisor Sum 3,452,470
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #3200317 ← → #3200333

Radix Representation

Decimal 3200330
Binary 1100001101010101001010 (22 bits)
Octal 0o14152512
Hexadecimal 0x30D54A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 131 262 349 655 698 917 1,310 1,745 1,834 2,443 3,490 4,585 4,886 9,170 12,215 24,430 45,719 91,438 228,595 320,033 457,190 640,066 1,600,165 3,200,330

Collatz Trajectory (376 steps to reach 1)

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

3,200,330 1,600,165 4,800,496 2,400,248 1,200,124 600,062 300,031 900,094 450,047 1,350,142 675,071 2,025,214 1,012,607 3,037,822 1,518,911 4,556,734 2,278,367 6,835,102 3,417,551 10,252,654 5,126,327 15,378,982 7,689,491 23,068,474 11,534,237 34,602,712 17,301,356 8,650,678 4,325,339 12,976,018 6,488,009 19,464,028 9,732,014 4,866,007 14,598,022 7,299,011 21,897,034 10,948,517 32,845,552 16,422,776 8,211,388 4,105,694 2,052,847 6,158,542 3,079,271 9,237,814 4,618,907 13,856,722 6,928,361 20,785,084 10,392,542 5,196,271 15,588,814 7,794,407 23,383,222 11,691,611 35,074,834 17,537,417 52,612,252 26,306,126

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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