λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,450,110
4,450,110
2 × 3 × 5 × 7 × 21191
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 21191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,206,592
Proper Divisor Sum 7,756,482
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4450097 ← → #4450111

Radix Representation

Decimal 4450110
Binary 10000111110011100111110 (23 bits)
Octal 0o20763476
Hexadecimal 0x43E73E

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 21,191 42,382 63,573 105,955 127,146 148,337 211,910 296,674 317,865 445,011 635,730 741,685 890,022 1,483,370 2,225,055 4,450,110

Collatz Trajectory (141 steps to reach 1)

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

4,450,110 2,225,055 6,675,166 3,337,583 10,012,750 5,006,375 15,019,126 7,509,563 22,528,690 11,264,345 33,793,036 16,896,518 8,448,259 25,344,778 12,672,389 38,017,168 19,008,584 9,504,292 4,752,146 2,376,073 7,128,220 3,564,110 1,782,055 5,346,166 2,673,083 8,019,250 4,009,625 12,028,876 6,014,438 3,007,219 9,021,658 4,510,829 13,532,488 6,766,244 3,383,122 1,691,561 5,074,684 2,537,342 1,268,671 3,806,014 1,903,007 5,709,022 2,854,511 8,563,534 4,281,767 12,845,302 6,422,651 19,267,954 9,633,977 28,901,932 14,450,966 7,225,483 21,676,450 10,838,225 32,514,676 16,257,338 8,128,669 24,386,008 12,193,004 6,096,502

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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