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Atlas › Integer Profiles › Node 11,628,200

11,628,200

23 × 52 × 53 × 1097
Abundant Even Composite

11,628,200 factors as 2^3 × 5^2 × 53 × 1097. Its 48 positive divisors give a proper-divisor sum of 15,942,580, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 53 × 1097
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,570,780
Proper Divisor Sum 15,942,580
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #11628191 ← → #11628233

Radix Representation

Decimal 11628200
Binary 101100010110111010101000 (24 bits)
Octal 0o54267250
Hexadecimal 0xB16EA8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1,060 1,097 1,325 2,120 2,194 2,650 4,388 5,300 5,485 8,776 10,600 10,970 21,940 27,425 43,880 54,850 58,141 109,700 116,282 219,400 232,564 290,705 465,128 581,410 1,162,820 1,453,525 2,325,640 2,907,050 5,814,100 11,628,200

Collatz Trajectory (171 steps to reach 1)

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

11,628,200 5,814,100 2,907,050 1,453,525 4,360,576 2,180,288 1,090,144 545,072 272,536 136,268 68,134 34,067 102,202 51,101 153,304 76,652 38,326 19,163 57,490 28,745 86,236 43,118 21,559 64,678 32,339 97,018 48,509 145,528 72,764 36,382 18,191 54,574 27,287 81,862 40,931 122,794 61,397 184,192 92,096 46,048 23,024 11,512 5,756 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302

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