11,615,216

2⁴ × 17 × 42703

11,615,216 factors as 2^4 × 17 × 42703. Its 20 positive divisors give a proper-divisor sum of 12,213,616, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 42703

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 23,828,832

Proper Divisor Sum 12,213,616

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #11615159 ← → #11615221

Radix Representation

Decimal	11615216
Binary	101100010011101111110000 (24 bits)
Octal	0o54235760
Hexadecimal	0xB13BF0

Divisor Catalog (20)

Collatz Trajectory (122 steps to reach 1)

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

11,615,216 5,807,608 2,903,804 1,451,902 725,951 2,177,854 1,088,927 3,266,782 1,633,391 4,900,174 2,450,087 7,350,262 3,675,131 11,025,394 5,512,697 16,538,092 8,269,046 4,134,523 12,403,570 6,201,785 18,605,356 9,302,678 4,651,339 13,954,018 6,977,009 20,931,028 10,465,514 5,232,757 15,698,272 7,849,136 3,924,568 1,962,284 981,142 490,571 1,471,714 735,857 2,207,572 1,103,786 551,893 1,655,680 827,840 413,920 206,960 103,480 51,740 25,870 12,935 38,806 19,403 58,210 29,105 87,316 43,658 21,829 65,488 32,744 16,372 8,186 4,093 12,280

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