λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,525,235
17,525,235
3 × 5 × 7 × 13 × 37 × 347
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 37 × 347
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 35,546,112
Proper Divisor Sum 18,020,877
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17525227 ← → #17525237

Radix Representation

Decimal 17525235
Binary 1000010110110100111110011 (25 bits)
Octal 0o102664763
Hexadecimal 0x10B69F3

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 35 37 39 65 91 105 111 185 195 259 273 347 455 481 555 777 1,041 1,295 1,365 1,443 1,735 2,405 2,429 3,367 3,885 4,511 5,205 7,215 7,287 10,101 12,145 12,839 13,533 16,835 22,555 31,577 36,435 38,517 50,505 64,195 67,665 89,873 94,731 157,885 166,907 192,585 269,619 449,365 473,655 500,721 834,535 1,168,349 1,348,095

Collatz Trajectory (200 steps to reach 1)

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

17,525,235 52,575,706 26,287,853 78,863,560 39,431,780 19,715,890 9,857,945 29,573,836 14,786,918 7,393,459 22,180,378 11,090,189 33,270,568 16,635,284 8,317,642 4,158,821 12,476,464 6,238,232 3,119,116 1,559,558 779,779 2,339,338 1,169,669 3,509,008 1,754,504 877,252 438,626 219,313 657,940 328,970 164,485 493,456 246,728 123,364 61,682 30,841 92,524 46,262 23,131 69,394 34,697 104,092 52,046 26,023 78,070 39,035 117,106 58,553 175,660 87,830 43,915 131,746 65,873 197,620 98,810 49,405 148,216 74,108 37,054 18,527

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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