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Atlas › Integer Profiles › Node 52,612,425

52,612,425

32 × 52 × 19 × 31 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 19 × 31 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 102,652,160
Proper Divisor Sum 50,039,735
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #52612423 ← → #52612429

Radix Representation

Decimal 52612425
Binary 11001000101100110101001001 (26 bits)
Octal 0o310546511
Hexadecimal 0x322CD49

Divisor Catalog (60 of 72)

1 3 5 9 15 19 25 31 45 57 75 93 95 155 171 225 279 285 397 465 475 589 775 855 1,191 1,395 1,425 1,767 1,985 2,325 2,945 3,573 4,275 5,301 5,955 6,975 7,543 8,835 9,925 12,307 14,725 17,865 22,629 26,505 29,775 36,921 37,715 44,175 61,535 67,887 89,325 110,763 113,145 132,525 184,605 188,575 233,833 307,675 339,435 553,815

Collatz Trajectory (199 steps to reach 1)

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

52,612,425 157,837,276 78,918,638 39,459,319 118,377,958 59,188,979 177,566,938 88,783,469 266,350,408 133,175,204 66,587,602 33,293,801 99,881,404 49,940,702 24,970,351 74,911,054 37,455,527 112,366,582 56,183,291 168,549,874 84,274,937 252,824,812 126,412,406 63,206,203 189,618,610 94,809,305 284,427,916 142,213,958 71,106,979 213,320,938 106,660,469 319,981,408 159,990,704 79,995,352 39,997,676 19,998,838 9,999,419 29,998,258 14,999,129 44,997,388 22,498,694 11,249,347 33,748,042 16,874,021 50,622,064 25,311,032 12,655,516 6,327,758 3,163,879 9,491,638 4,745,819 14,237,458 7,118,729 21,356,188 10,678,094 5,339,047 16,017,142 8,008,571 24,025,714 12,012,857

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