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Ratio Atlas
Atlas › Integer Profiles › Node 3,357,705
3,357,705
3 × 5 × 13 × 67 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 67 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,894,784
Proper Divisor Sum 2,537,079
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3357691 ← → #3357719

Radix Representation

Decimal 3357705
Binary 1100110011110000001001 (22 bits)
Octal 0o14636011
Hexadecimal 0x333C09

Divisor Catalog (32)

1 3 5 13 15 39 65 67 195 201 257 335 771 871 1,005 1,285 2,613 3,341 3,855 4,355 10,023 13,065 16,705 17,219 50,115 51,657 86,095 223,847 258,285 671,541 1,119,235 3,357,705

Collatz Trajectory (159 steps to reach 1)

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

3,357,705 10,073,116 5,036,558 2,518,279 7,554,838 3,777,419 11,332,258 5,666,129 16,998,388 8,499,194 4,249,597 12,748,792 6,374,396 3,187,198 1,593,599 4,780,798 2,390,399 7,171,198 3,585,599 10,756,798 5,378,399 16,135,198 8,067,599 24,202,798 12,101,399 36,304,198 18,152,099 54,456,298 27,228,149 81,684,448 40,842,224 20,421,112 10,210,556 5,105,278 2,552,639 7,657,918 3,828,959 11,486,878 5,743,439 17,230,318 8,615,159 25,845,478 12,922,739 38,768,218 19,384,109 58,152,328 29,076,164 14,538,082 7,269,041 21,807,124 10,903,562 5,451,781 16,355,344 8,177,672 4,088,836 2,044,418 1,022,209 3,066,628 1,533,314 766,657

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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