9,487,530

2 × 3⁴ × 5 × 13 × 17 × 53

9,487,530 factors as 2 × 3^4 × 5 × 13 × 17 × 53. Its 160 positive divisors give a proper-divisor sum of 20,150,694, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 13 × 17 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 29,638,224

Proper Divisor Sum 20,150,694

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9487529 ← → #9487571

Radix Representation

Decimal	9487530
Binary	100100001100010010101010 (24 bits)
Octal	0o44142252
Hexadecimal	0x90C4AA

Divisor Catalog (60 of 160)

1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 53 54 65 78 81 85 90 102 106 117 130 135 153 159 162 170 195 221 234 255 265 270 306 318 351 390 405 442 459 477 510 530 585 663 689 702 765 795 810 901 918 954

Collatz Trajectory (106 steps to reach 1)

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

9,487,530 4,743,765 14,231,296 7,115,648 3,557,824 1,778,912 889,456 444,728 222,364 111,182 55,591 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190

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