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Ratio Atlas
Atlas › Integer Profiles › Node 45,877,425
45,877,425
3 × 52 × 11 × 55609
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 55609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,747,680
Proper Divisor Sum 36,870,255
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #45877423 ← → #45877439

Radix Representation

Decimal 45877425
Binary 10101111000000100010110001 (26 bits)
Octal 0o257004261
Hexadecimal 0x2BC08B1

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 55,609 166,827 278,045 611,699 834,135 1,390,225 1,835,097 3,058,495 4,170,675 9,175,485 15,292,475 45,877,425

Collatz Trajectory (204 steps to reach 1)

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

45,877,425 137,632,276 68,816,138 34,408,069 103,224,208 51,612,104 25,806,052 12,903,026 6,451,513 19,354,540 9,677,270 4,838,635 14,515,906 7,257,953 21,773,860 10,886,930 5,443,465 16,330,396 8,165,198 4,082,599 12,247,798 6,123,899 18,371,698 9,185,849 27,557,548 13,778,774 6,889,387 20,668,162 10,334,081 31,002,244 15,501,122 7,750,561 23,251,684 11,625,842 5,812,921 17,438,764 8,719,382 4,359,691 13,079,074 6,539,537 19,618,612 9,809,306 4,904,653 14,713,960 7,356,980 3,678,490 1,839,245 5,517,736 2,758,868 1,379,434 689,717 2,069,152 1,034,576 517,288 258,644 129,322 64,661 193,984 96,992 48,496

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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