λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,006,025
50,006,025
33 × 52 × 23 × 3221
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5^2 × 23 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 95,886,720
Proper Divisor Sum 45,880,695
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50006023 ← → #50006029

Radix Representation

Decimal 50006025
Binary 10111110110000100000001001 (26 bits)
Octal 0o276604011
Hexadecimal 0x2FB0809

Divisor Catalog (48)

1 3 5 9 15 23 25 27 45 69 75 115 135 207 225 345 575 621 675 1,035 1,725 3,105 3,221 5,175 9,663 15,525 16,105 28,989 48,315 74,083 80,525 86,967 144,945 222,249 241,575 370,415 434,835 666,747 724,725 1,111,245 1,852,075 2,000,241 2,174,175 3,333,735 5,556,225 10,001,205 16,668,675 50,006,025

Collatz Trajectory (160 steps to reach 1)

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

50,006,025 150,018,076 75,009,038 37,504,519 112,513,558 56,256,779 168,770,338 84,385,169 253,155,508 126,577,754 63,288,877 189,866,632 94,933,316 47,466,658 23,733,329 71,199,988 35,599,994 17,799,997 53,399,992 26,699,996 13,349,998 6,674,999 20,024,998 10,012,499 30,037,498 15,018,749 45,056,248 22,528,124 11,264,062 5,632,031 16,896,094 8,448,047 25,344,142 12,672,071 38,016,214 19,008,107 57,024,322 28,512,161 85,536,484 42,768,242 21,384,121 64,152,364 32,076,182 16,038,091 48,114,274 24,057,137 72,171,412 36,085,706 18,042,853 54,128,560 27,064,280 13,532,140 6,766,070 3,383,035 10,149,106 5,074,553 15,223,660 7,611,830 3,805,915 11,417,746

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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