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Atlas › Integer Profiles › Node 11,628,666

11,628,666

2 × 32 × 7 × 41 × 2251
Abundant Even Composite

11,628,666 factors as 2 × 3^2 × 7 × 41 × 2251. Its 48 positive divisors give a proper-divisor sum of 17,881,542, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 41 × 2251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,510,208
Proper Divisor Sum 17,881,542
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11628641 ← → #11628667

Radix Representation

Decimal 11628666
Binary 101100010111000001111010 (24 bits)
Octal 0o54270172
Hexadecimal 0xB1707A

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1,722 2,251 2,583 4,502 5,166 6,753 13,506 15,757 20,259 31,514 40,518 47,271 92,291 94,542 141,813 184,582 276,873 283,626 553,746 646,037 830,619 1,292,074 1,661,238 1,938,111 3,876,222 5,814,333 11,628,666

Collatz Trajectory (96 steps to reach 1)

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

11,628,666 5,814,333 17,443,000 8,721,500 4,360,750 2,180,375 6,541,126 3,270,563 9,811,690 4,905,845 14,717,536 7,358,768 3,679,384 1,839,692 919,846 459,923 1,379,770 689,885 2,069,656 1,034,828 517,414 258,707 776,122 388,061 1,164,184 582,092 291,046 145,523 436,570 218,285 654,856 327,428 163,714 81,857 245,572 122,786 61,393 184,180 92,090 46,045 138,136 69,068 34,534 17,267 51,802 25,901 77,704 38,852 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050

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