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Atlas › Integer Profiles › Node 52,591,725

52,591,725

32 × 52 × 41 × 5701
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 41 × 5701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 96,512,052
Proper Divisor Sum 43,920,327
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52591723 ← → #52591733

Radix Representation

Decimal 52591725
Binary 11001000100111110001101101 (26 bits)
Octal 0o310476155
Hexadecimal 0x3227C6D

Divisor Catalog (36)

1 3 5 9 15 25 41 45 75 123 205 225 369 615 1,025 1,845 3,075 5,701 9,225 17,103 28,505 51,309 85,515 142,525 233,741 256,545 427,575 701,223 1,168,705 1,282,725 2,103,669 3,506,115 5,843,525 10,518,345 17,530,575 52,591,725

Collatz Trajectory (225 steps to reach 1)

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

52,591,725 157,775,176 78,887,588 39,443,794 19,721,897 59,165,692 29,582,846 14,791,423 44,374,270 22,187,135 66,561,406 33,280,703 99,842,110 49,921,055 149,763,166 74,881,583 224,644,750 112,322,375 336,967,126 168,483,563 505,450,690 252,725,345 758,176,036 379,088,018 189,544,009 568,632,028 284,316,014 142,158,007 426,474,022 213,237,011 639,711,034 319,855,517 959,566,552 479,783,276 239,891,638 119,945,819 359,837,458 179,918,729 539,756,188 269,878,094 134,939,047 404,817,142 202,408,571 607,225,714 303,612,857 910,838,572 455,419,286 227,709,643 683,128,930 341,564,465 1,024,693,396 512,346,698 256,173,349 768,520,048 384,260,024 192,130,012 96,065,006 48,032,503 144,097,510 72,048,755

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