53,257,590

2 × 3² × 5 × 591751

53,257,590 factors as 2 × 3^2 × 5 × 591751. Its 24 positive divisors give a proper-divisor sum of 85,212,378, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 591751

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 138,469,968

Proper Divisor Sum 85,212,378

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #53257553 ← → #53257591

Radix Representation

Decimal	53257590
Binary	11001011001010010101110110 (26 bits)
Octal	0o313122566
Hexadecimal	0x32CA576

Divisor Catalog (24)

Collatz Trajectory (194 steps to reach 1)

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

53,257,590 26,628,795 79,886,386 39,943,193 119,829,580 59,914,790 29,957,395 89,872,186 44,936,093 134,808,280 67,404,140 33,702,070 16,851,035 50,553,106 25,276,553 75,829,660 37,914,830 18,957,415 56,872,246 28,436,123 85,308,370 42,654,185 127,962,556 63,981,278 31,990,639 95,971,918 47,985,959 143,957,878 71,978,939 215,936,818 107,968,409 323,905,228 161,952,614 80,976,307 242,928,922 121,464,461 364,393,384 182,196,692 91,098,346 45,549,173 136,647,520 68,323,760 34,161,880 17,080,940 8,540,470 4,270,235 12,810,706 6,405,353 19,216,060 9,608,030 4,804,015 14,412,046 7,206,023 21,618,070 10,809,035 32,427,106 16,213,553 48,640,660 24,320,330 12,160,165

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