λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,457,950
4,457,950
2 × 52 × 7 × 47 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 47 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,713,664
Proper Divisor Sum 5,255,714
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4457933 ← → #4457953

Radix Representation

Decimal 4457950
Binary 10001000000010111011110 (23 bits)
Octal 0o21002736
Hexadecimal 0x4405DE

Divisor Catalog (48)

1 2 5 7 10 14 25 35 47 50 70 94 175 235 271 329 350 470 542 658 1,175 1,355 1,645 1,897 2,350 2,710 3,290 3,794 6,775 8,225 9,485 12,737 13,550 16,450 18,970 25,474 47,425 63,685 89,159 94,850 127,370 178,318 318,425 445,795 636,850 891,590 2,228,975 4,457,950

Collatz Trajectory (149 steps to reach 1)

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

4,457,950 2,228,975 6,686,926 3,343,463 10,030,390 5,015,195 15,045,586 7,522,793 22,568,380 11,284,190 5,642,095 16,926,286 8,463,143 25,389,430 12,694,715 38,084,146 19,042,073 57,126,220 28,563,110 14,281,555 42,844,666 21,422,333 64,267,000 32,133,500 16,066,750 8,033,375 24,100,126 12,050,063 36,150,190 18,075,095 54,225,286 27,112,643 81,337,930 40,668,965 122,006,896 61,003,448 30,501,724 15,250,862 7,625,431 22,876,294 11,438,147 34,314,442 17,157,221 51,471,664 25,735,832 12,867,916 6,433,958 3,216,979 9,650,938 4,825,469 14,476,408 7,238,204 3,619,102 1,809,551 5,428,654 2,714,327 8,142,982 4,071,491 12,214,474 6,107,237

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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