λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,596,050
52,596,050
2 × 52 × 13 × 80917
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 80917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 105,355,236
Proper Divisor Sum 52,759,186
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #52596043 ← → #52596059

Radix Representation

Decimal 52596050
Binary 11001000101000110101010010 (26 bits)
Octal 0o310506522
Hexadecimal 0x3228D52

Divisor Catalog (24)

1 2 5 10 13 25 26 50 65 130 325 650 80,917 161,834 404,585 809,170 1,051,921 2,022,925 2,103,842 4,045,850 5,259,605 10,519,210 26,298,025 52,596,050

Collatz Trajectory (168 steps to reach 1)

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

52,596,050 26,298,025 78,894,076 39,447,038 19,723,519 59,170,558 29,585,279 88,755,838 44,377,919 133,133,758 66,566,879 199,700,638 99,850,319 299,550,958 149,775,479 449,326,438 224,663,219 673,989,658 336,994,829 1,010,984,488 505,492,244 252,746,122 126,373,061 379,119,184 189,559,592 94,779,796 47,389,898 23,694,949 71,084,848 35,542,424 17,771,212 8,885,606 4,442,803 13,328,410 6,664,205 19,992,616 9,996,308 4,998,154 2,499,077 7,497,232 3,748,616 1,874,308 937,154 468,577 1,405,732 702,866 351,433 1,054,300 527,150 263,575 790,726 395,363 1,186,090 593,045 1,779,136 889,568 444,784 222,392 111,196 55,598

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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