λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,275,706
17,275,706
2 × 7 × 17 × 29 × 2503
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 29 × 2503
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,451,840
Proper Divisor Sum 15,176,134
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #17275697 ← → #17275771

Radix Representation

Decimal 17275706
Binary 1000001111001101100111010 (25 bits)
Octal 0o101715472
Hexadecimal 0x1079B3A

Divisor Catalog (32)

1 2 7 14 17 29 34 58 119 203 238 406 493 986 2,503 3,451 5,006 6,902 17,521 35,042 42,551 72,587 85,102 145,174 297,857 508,109 595,714 1,016,218 1,233,979 2,467,958 8,637,853 17,275,706

Collatz Trajectory (200 steps to reach 1)

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

17,275,706 8,637,853 25,913,560 12,956,780 6,478,390 3,239,195 9,717,586 4,858,793 14,576,380 7,288,190 3,644,095 10,932,286 5,466,143 16,398,430 8,199,215 24,597,646 12,298,823 36,896,470 18,448,235 55,344,706 27,672,353 83,017,060 41,508,530 20,754,265 62,262,796 31,131,398 15,565,699 46,697,098 23,348,549 70,045,648 35,022,824 17,511,412 8,755,706 4,377,853 13,133,560 6,566,780 3,283,390 1,641,695 4,925,086 2,462,543 7,387,630 3,693,815 11,081,446 5,540,723 16,622,170 8,311,085 24,933,256 12,466,628 6,233,314 3,116,657 9,349,972 4,674,986 2,337,493 7,012,480 3,506,240 1,753,120 876,560 438,280 219,140 109,570

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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