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Atlas › Integer Profiles › Node 11,615,580

11,615,580

22 × 32 × 5 × 47 × 1373
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 47 × 1373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 36,009,792
Proper Divisor Sum 24,394,212
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11615579 ← → #11615603

Radix Representation

Decimal 11615580
Binary 101100010011110101011100 (24 bits)
Octal 0o54236534
Hexadecimal 0xB13D5C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1,373 1,410 1,692 2,115 2,746 2,820 4,119 4,230 5,492 6,865 8,238 8,460 12,357 13,730 16,476 20,595 24,714 27,460 41,190 49,428 61,785 64,531 82,380 123,570 129,062 193,593 247,140 258,124 322,655 387,186

Collatz Trajectory (184 steps to reach 1)

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

11,615,580 5,807,790 2,903,895 8,711,686 4,355,843 13,067,530 6,533,765 19,601,296 9,800,648 4,900,324 2,450,162 1,225,081 3,675,244 1,837,622 918,811 2,756,434 1,378,217 4,134,652 2,067,326 1,033,663 3,100,990 1,550,495 4,651,486 2,325,743 6,977,230 3,488,615 10,465,846 5,232,923 15,698,770 7,849,385 23,548,156 11,774,078 5,887,039 17,661,118 8,830,559 26,491,678 13,245,839 39,737,518 19,868,759 59,606,278 29,803,139 89,409,418 44,704,709 134,114,128 67,057,064 33,528,532 16,764,266 8,382,133 25,146,400 12,573,200 6,286,600 3,143,300 1,571,650 785,825 2,357,476 1,178,738 589,369 1,768,108 884,054 442,027

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