λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,520,210
17,520,210
2 × 32 × 5 × 53 × 3673
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 53 × 3673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 46,424,664
Proper Divisor Sum 28,904,454
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #17520199 ← → #17520211

Radix Representation

Decimal 17520210
Binary 1000010110101011001010010 (25 bits)
Octal 0o102653122
Hexadecimal 0x10B5652

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1,590 2,385 3,673 4,770 7,346 11,019 18,365 22,038 33,057 36,730 55,095 66,114 110,190 165,285 194,669 330,570 389,338 584,007 973,345 1,168,014 1,752,021 1,946,690 2,920,035 3,504,042 5,840,070 8,760,105 17,520,210

Collatz Trajectory (200 steps to reach 1)

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

17,520,210 8,760,105 26,280,316 13,140,158 6,570,079 19,710,238 9,855,119 29,565,358 14,782,679 44,348,038 22,174,019 66,522,058 33,261,029 99,783,088 49,891,544 24,945,772 12,472,886 6,236,443 18,709,330 9,354,665 28,063,996 14,031,998 7,015,999 21,047,998 10,523,999 31,571,998 15,785,999 47,357,998 23,678,999 71,036,998 35,518,499 106,555,498 53,277,749 159,833,248 79,916,624 39,958,312 19,979,156 9,989,578 4,994,789 14,984,368 7,492,184 3,746,092 1,873,046 936,523 2,809,570 1,404,785 4,214,356 2,107,178 1,053,589 3,160,768 1,580,384 790,192 395,096 197,548 98,774 49,387 148,162 74,081 222,244 111,122

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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