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Ratio Atlas
Atlas › Integer Profiles › Node 2,004,105
2,004,105
3 × 5 × 23 × 37 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 23 × 37 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,458,304
Proper Divisor Sum 1,454,199
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2004097 ← → #2004109

Radix Representation

Decimal 2004105
Binary 111101001010010001001 (21 bits)
Octal 0o7512211
Hexadecimal 0x1E9489

Divisor Catalog (32)

1 3 5 15 23 37 69 111 115 157 185 345 471 555 785 851 2,355 2,553 3,611 4,255 5,809 10,833 12,765 17,427 18,055 29,045 54,165 87,135 133,607 400,821 668,035 2,004,105

Collatz Trajectory (228 steps to reach 1)

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

2,004,105 6,012,316 3,006,158 1,503,079 4,509,238 2,254,619 6,763,858 3,381,929 10,145,788 5,072,894 2,536,447 7,609,342 3,804,671 11,414,014 5,707,007 17,121,022 8,560,511 25,681,534 12,840,767 38,522,302 19,261,151 57,783,454 28,891,727 86,675,182 43,337,591 130,012,774 65,006,387 195,019,162 97,509,581 292,528,744 146,264,372 73,132,186 36,566,093 109,698,280 54,849,140 27,424,570 13,712,285 41,136,856 20,568,428 10,284,214 5,142,107 15,426,322 7,713,161 23,139,484 11,569,742 5,784,871 17,354,614 8,677,307 26,031,922 13,015,961 39,047,884 19,523,942 9,761,971 29,285,914 14,642,957 43,928,872 21,964,436 10,982,218 5,491,109 16,473,328

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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