λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,596,055
52,596,055
5 × 23 × 37 × 47 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 23 × 37 × 47 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,341,184
Proper Divisor Sum 16,745,129
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #52596043 ← → #52596059

Radix Representation

Decimal 52596055
Binary 11001000101000110101010111 (26 bits)
Octal 0o310506527
Hexadecimal 0x3228D57

Divisor Catalog (32)

1 5 23 37 47 115 185 235 263 851 1,081 1,315 1,739 4,255 5,405 6,049 8,695 9,731 12,361 30,245 39,997 48,655 61,805 199,985 223,813 284,303 457,357 1,119,065 1,421,515 2,286,785 10,519,211 52,596,055

Collatz Trajectory (168 steps to reach 1)

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

52,596,055 157,788,166 78,894,083 236,682,250 118,341,125 355,023,376 177,511,688 88,755,844 44,377,922 22,188,961 66,566,884 33,283,442 16,641,721 49,925,164 24,962,582 12,481,291 37,443,874 18,721,937 56,165,812 28,082,906 14,041,453 42,124,360 21,062,180 10,531,090 5,265,545 15,796,636 7,898,318 3,949,159 11,847,478 5,923,739 17,771,218 8,885,609 26,656,828 13,328,414 6,664,207 19,992,622 9,996,311 29,988,934 14,994,467 44,983,402 22,491,701 67,475,104 33,737,552 16,868,776 8,434,388 4,217,194 2,108,597 6,325,792 3,162,896 1,581,448 790,724 395,362 197,681 593,044 296,522 148,261 444,784 222,392 111,196 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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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