537,252

2² × 3 × 44771

537,252 factors as 2^2 × 3 × 44771. Its 12 positive divisors give a proper-divisor sum of 716,364, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 44771

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,253,616

Proper Divisor Sum 716,364

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #537241 ← → #537269

Radix Representation

Decimal	537252
Binary	10000011001010100100 (20 bits)
Octal	0o2031244
Hexadecimal	0x832A4

Divisor Catalog (12)

1 2 3 4 6 12 44,771 89,542 134,313 179,084 268,626 537,252

Collatz Trajectory (71 steps to reach 1)

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

537,252 268,626 134,313 402,940 201,470 100,735 302,206 151,103 453,310 226,655 679,966 339,983 1,019,950 509,975 1,529,926 764,963 2,294,890 1,147,445 3,442,336 1,721,168 860,584 430,292 215,146 107,573 322,720 161,360 80,680 40,340 20,170 10,085 30,256 15,128 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17

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