λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,575,230
2,575,230
2 × 3 × 5 × 7 × 12263
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 12263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,064,064
Proper Divisor Sum 4,488,834
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2575219 ← → #2575231

Radix Representation

Decimal 2575230
Binary 1001110100101101111110 (22 bits)
Octal 0o11645576
Hexadecimal 0x274B7E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 12,263 24,526 36,789 61,315 73,578 85,841 122,630 171,682 183,945 257,523 367,890 429,205 515,046 858,410 1,287,615 2,575,230

Collatz Trajectory (249 steps to reach 1)

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

2,575,230 1,287,615 3,862,846 1,931,423 5,794,270 2,897,135 8,691,406 4,345,703 13,037,110 6,518,555 19,555,666 9,777,833 29,333,500 14,666,750 7,333,375 22,000,126 11,000,063 33,000,190 16,500,095 49,500,286 24,750,143 74,250,430 37,125,215 111,375,646 55,687,823 167,063,470 83,531,735 250,595,206 125,297,603 375,892,810 187,946,405 563,839,216 281,919,608 140,959,804 70,479,902 35,239,951 105,719,854 52,859,927 158,579,782 79,289,891 237,869,674 118,934,837 356,804,512 178,402,256 89,201,128 44,600,564 22,300,282 11,150,141 33,450,424 16,725,212 8,362,606 4,181,303 12,543,910 6,271,955 18,815,866 9,407,933 28,223,800 14,111,900 7,055,950 3,527,975

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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