λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,286,045
17,286,045
3 × 5 × 7 × 193 × 853
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 193 × 853
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,809,792
Proper Divisor Sum 14,523,747
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17286023 ← → #17286053

Radix Representation

Decimal 17286045
Binary 1000001111100001110011101 (25 bits)
Octal 0o101741635
Hexadecimal 0x107C39D

Divisor Catalog (32)

1 3 5 7 15 21 35 105 193 579 853 965 1,351 2,559 2,895 4,053 4,265 5,971 6,755 12,795 17,913 20,265 29,855 89,565 164,629 493,887 823,145 1,152,403 2,469,435 3,457,209 5,762,015 17,286,045

Collatz Trajectory (213 steps to reach 1)

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

17,286,045 51,858,136 25,929,068 12,964,534 6,482,267 19,446,802 9,723,401 29,170,204 14,585,102 7,292,551 21,877,654 10,938,827 32,816,482 16,408,241 49,224,724 24,612,362 12,306,181 36,918,544 18,459,272 9,229,636 4,614,818 2,307,409 6,922,228 3,461,114 1,730,557 5,191,672 2,595,836 1,297,918 648,959 1,946,878 973,439 2,920,318 1,460,159 4,380,478 2,190,239 6,570,718 3,285,359 9,856,078 4,928,039 14,784,118 7,392,059 22,176,178 11,088,089 33,264,268 16,632,134 8,316,067 24,948,202 12,474,101 37,422,304 18,711,152 9,355,576 4,677,788 2,338,894 1,169,447 3,508,342 1,754,171 5,262,514 2,631,257 7,893,772 3,946,886

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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