52,593,468

2² × 3 × 61 × 71849

52,593,468 factors as 2^2 × 3 × 61 × 71849. Its 24 positive divisors give a proper-divisor sum of 72,138,132, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 61 × 71849

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 124,731,600

Proper Divisor Sum 72,138,132

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #52593467 ← → #52593491

Radix Representation

Decimal	52593468
Binary	11001000101000001100111100 (26 bits)
Octal	0o310501474
Hexadecimal	0x322833C

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

52,593,468 26,296,734 13,148,367 39,445,102 19,722,551 59,167,654 29,583,827 88,751,482 44,375,741 133,127,224 66,563,612 33,281,806 16,640,903 49,922,710 24,961,355 74,884,066 37,442,033 112,326,100 56,163,050 28,081,525 84,244,576 42,122,288 21,061,144 10,530,572 5,265,286 2,632,643 7,897,930 3,948,965 11,846,896 5,923,448 2,961,724 1,480,862 740,431 2,221,294 1,110,647 3,331,942 1,665,971 4,997,914 2,498,957 7,496,872 3,748,436 1,874,218 937,109 2,811,328 1,405,664 702,832 351,416 175,708 87,854 43,927 131,782 65,891 197,674 98,837 296,512 148,256 74,128 37,064 18,532 9,266

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