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Ratio Atlas
Atlas › Integer Profiles › Node 3,331,405
3,331,405
5 × 7 × 11 × 17 × 509
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,287,680
Proper Divisor Sum 1,956,275
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3331399 ← → #3331409

Radix Representation

Decimal 3331405
Binary 1100101101010101001101 (22 bits)
Octal 0o14552515
Hexadecimal 0x32D54D

Divisor Catalog (32)

1 5 7 11 17 35 55 77 85 119 187 385 509 595 935 1,309 2,545 3,563 5,599 6,545 8,653 17,815 27,995 39,193 43,265 60,571 95,183 195,965 302,855 475,915 666,281 3,331,405

Collatz Trajectory (389 steps to reach 1)

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

3,331,405 9,994,216 4,997,108 2,498,554 1,249,277 3,747,832 1,873,916 936,958 468,479 1,405,438 702,719 2,108,158 1,054,079 3,162,238 1,581,119 4,743,358 2,371,679 7,115,038 3,557,519 10,672,558 5,336,279 16,008,838 8,004,419 24,013,258 12,006,629 36,019,888 18,009,944 9,004,972 4,502,486 2,251,243 6,753,730 3,376,865 10,130,596 5,065,298 2,532,649 7,597,948 3,798,974 1,899,487 5,698,462 2,849,231 8,547,694 4,273,847 12,821,542 6,410,771 19,232,314 9,616,157 28,848,472 14,424,236 7,212,118 3,606,059 10,818,178 5,409,089 16,227,268 8,113,634 4,056,817 12,170,452 6,085,226 3,042,613 9,127,840 4,563,920

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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