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Atlas › Integer Profiles › Node 11,614,640

11,614,640

24 × 5 × 47 × 3089
Abundant Even Composite

11,614,640 factors as 2^4 × 5 × 47 × 3089. Its 40 positive divisors give a proper-divisor sum of 15,972,880, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 3089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 27,587,520
Proper Divisor Sum 15,972,880
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #11614639 ← → #11614657

Radix Representation

Decimal 11614640
Binary 101100010011100110110000 (24 bits)
Octal 0o54234660
Hexadecimal 0xB139B0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 3,089 3,760 6,178 12,356 15,445 24,712 30,890 49,424 61,780 123,560 145,183 247,120 290,366 580,732 725,915 1,161,464 1,451,830 2,322,928 2,903,660 5,807,320 11,614,640

Collatz Trajectory (122 steps to reach 1)

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

11,614,640 5,807,320 2,903,660 1,451,830 725,915 2,177,746 1,088,873 3,266,620 1,633,310 816,655 2,449,966 1,224,983 3,674,950 1,837,475 5,512,426 2,756,213 8,268,640 4,134,320 2,067,160 1,033,580 516,790 258,395 775,186 387,593 1,162,780 581,390 290,695 872,086 436,043 1,308,130 654,065 1,962,196 981,098 490,549 1,471,648 735,824 367,912 183,956 91,978 45,989 137,968 68,984 34,492 17,246 8,623 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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