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Ratio Atlas
Atlas › Integer Profiles › Node 17,531,199
17,531,199
32 × 7 × 17 × 16369
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 17 × 16369
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,644,640
Proper Divisor Sum 13,113,441
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17531197 ← → #17531203

Radix Representation

Decimal 17531199
Binary 1000010111000000100111111 (25 bits)
Octal 0o102700477
Hexadecimal 0x10B813F

Divisor Catalog (24)

1 3 7 9 17 21 51 63 119 153 357 1,071 16,369 49,107 114,583 147,321 278,273 343,749 834,819 1,031,247 1,947,911 2,504,457 5,843,733 17,531,199

Collatz Trajectory (169 steps to reach 1)

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

17,531,199 52,593,598 26,296,799 78,890,398 39,445,199 118,335,598 59,167,799 177,503,398 88,751,699 266,255,098 133,127,549 399,382,648 199,691,324 99,845,662 49,922,831 149,768,494 74,884,247 224,652,742 112,326,371 336,979,114 168,489,557 505,468,672 252,734,336 126,367,168 63,183,584 31,591,792 15,795,896 7,897,948 3,948,974 1,974,487 5,923,462 2,961,731 8,885,194 4,442,597 13,327,792 6,663,896 3,331,948 1,665,974 832,987 2,498,962 1,249,481 3,748,444 1,874,222 937,111 2,811,334 1,405,667 4,217,002 2,108,501 6,325,504 3,162,752 1,581,376 790,688 395,344 197,672 98,836 49,418 24,709 74,128 37,064 18,532

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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