3,136,500

2² × 3² × 5³ × 17 × 41

3,136,500 factors as 2^2 × 3^2 × 5^3 × 17 × 41. Its 144 positive divisors give a proper-divisor sum of 7,595,676, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^3 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 10,732,176

Proper Divisor Sum 7,595,676

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3136477 ← → #3136513

Radix Representation

Decimal	3136500
Binary	1011111101101111110100 (22 bits)
Octal	0o13755764
Hexadecimal	0x2FDBF4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 41 45 50 51 60 68 75 82 85 90 100 102 123 125 150 153 164 170 180 204 205 225 246 250 255 300 306 340 369 375 410 425 450 492 500 510 612 615 697 738 750 765 820

Collatz Trajectory (195 steps to reach 1)

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

3,136,500 1,568,250 784,125 2,352,376 1,176,188 588,094 294,047 882,142 441,071 1,323,214 661,607 1,984,822 992,411 2,977,234 1,488,617 4,465,852 2,232,926 1,116,463 3,349,390 1,674,695 5,024,086 2,512,043 7,536,130 3,768,065 11,304,196 5,652,098 2,826,049 8,478,148 4,239,074 2,119,537 6,358,612 3,179,306 1,589,653 4,768,960 2,384,480 1,192,240 596,120 298,060 149,030 74,515 223,546 111,773 335,320 167,660 83,830 41,915 125,746 62,873 188,620 94,310 47,155 141,466 70,733 212,200 106,100 53,050 26,525 79,576 39,788 19,894

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