λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,129,193
2,129,193
33 × 11 × 67 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 11 × 67 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,525,120
Proper Divisor Sum 1,395,927
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2129177 ← → #2129203

Radix Representation

Decimal 2129193
Binary 1000000111110100101001 (22 bits)
Octal 0o10076451
Hexadecimal 0x207D29

Divisor Catalog (32)

1 3 9 11 27 33 67 99 107 201 297 321 603 737 963 1,177 1,809 2,211 2,889 3,531 6,633 7,169 10,593 19,899 21,507 31,779 64,521 78,859 193,563 236,577 709,731 2,129,193

Collatz Trajectory (135 steps to reach 1)

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

2,129,193 6,387,580 3,193,790 1,596,895 4,790,686 2,395,343 7,186,030 3,593,015 10,779,046 5,389,523 16,168,570 8,084,285 24,252,856 12,126,428 6,063,214 3,031,607 9,094,822 4,547,411 13,642,234 6,821,117 20,463,352 10,231,676 5,115,838 2,557,919 7,673,758 3,836,879 11,510,638 5,755,319 17,265,958 8,632,979 25,898,938 12,949,469 38,848,408 19,424,204 9,712,102 4,856,051 14,568,154 7,284,077 21,852,232 10,926,116 5,463,058 2,731,529 8,194,588 4,097,294 2,048,647 6,145,942 3,072,971 9,218,914 4,609,457 13,828,372 6,914,186 3,457,093 10,371,280 5,185,640 2,592,820 1,296,410 648,205 1,944,616 972,308 486,154

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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