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Atlas › Integer Profiles › Node 52,287,172

52,287,172

22 × 7 × 17 × 109847
Abundant Even Composite

52,287,172 factors as 2^2 × 7 × 17 × 109847. Its 24 positive divisors give a proper-divisor sum of 58,439,612, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 109847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 110,726,784
Proper Divisor Sum 58,439,612
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52287143 ← → #52287227

Radix Representation

Decimal 52287172
Binary 11000111011101011011000100 (26 bits)
Octal 0o307353304
Hexadecimal 0x31DD6C4

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 109,847 219,694 439,388 768,929 1,537,858 1,867,399 3,075,716 3,734,798 7,469,596 13,071,793 26,143,586 52,287,172

Collatz Trajectory (137 steps to reach 1)

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

52,287,172 26,143,586 13,071,793 39,215,380 19,607,690 9,803,845 29,411,536 14,705,768 7,352,884 3,676,442 1,838,221 5,514,664 2,757,332 1,378,666 689,333 2,068,000 1,034,000 517,000 258,500 129,250 64,625 193,876 96,938 48,469 145,408 72,704 36,352 18,176 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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