52,592,812

2² × 23 × 47 × 12163

52,592,812 factors as 2^2 × 23 × 47 × 12163. Its 24 positive divisors give a proper-divisor sum of 45,497,684, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 47 × 12163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,090,496

Proper Divisor Sum 45,497,684

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #52592807 ← → #52592831

Radix Representation

Decimal	52592812
Binary	11001000101000000010101100 (26 bits)
Octal	0o310500254
Hexadecimal	0x32280AC

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

52,592,812 26,296,406 13,148,203 39,444,610 19,722,305 59,166,916 29,583,458 14,791,729 44,375,188 22,187,594 11,093,797 33,281,392 16,640,696 8,320,348 4,160,174 2,080,087 6,240,262 3,120,131 9,360,394 4,680,197 14,040,592 7,020,296 3,510,148 1,755,074 877,537 2,632,612 1,316,306 658,153 1,974,460 987,230 493,615 1,480,846 740,423 2,221,270 1,110,635 3,331,906 1,665,953 4,997,860 2,498,930 1,249,465 3,748,396 1,874,198 937,099 2,811,298 1,405,649 4,216,948 2,108,474 1,054,237 3,162,712 1,581,356 790,678 395,339 1,186,018 593,009 1,779,028 889,514 444,757 1,334,272 667,136 333,568

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