λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,521,950
45,521,950
2 × 52 × 31 × 43 × 683
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 31 × 43 × 683
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 89,565,696
Proper Divisor Sum 44,043,746
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #45521941 ← → #45521953

Radix Representation

Decimal 45521950
Binary 10101101101001110000011110 (26 bits)
Octal 0o255516036
Hexadecimal 0x2B69C1E

Divisor Catalog (48)

1 2 5 10 25 31 43 50 62 86 155 215 310 430 683 775 1,075 1,333 1,366 1,550 2,150 2,666 3,415 6,665 6,830 13,330 17,075 21,173 29,369 33,325 34,150 42,346 58,738 66,650 105,865 146,845 211,730 293,690 529,325 734,225 910,439 1,058,650 1,468,450 1,820,878 4,552,195 9,104,390 22,760,975 45,521,950

Collatz Trajectory (103 steps to reach 1)

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

45,521,950 22,760,975 68,282,926 34,141,463 102,424,390 51,212,195 153,636,586 76,818,293 230,454,880 115,227,440 57,613,720 28,806,860 14,403,430 7,201,715 21,605,146 10,802,573 32,407,720 16,203,860 8,101,930 4,050,965 12,152,896 6,076,448 3,038,224 1,519,112 759,556 379,778 189,889 569,668 284,834 142,417 427,252 213,626 106,813 320,440 160,220 80,110 40,055 120,166 60,083 180,250 90,125 270,376 135,188 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337

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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