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Atlas › Integer Profiles › Node 11,664,672

11,664,672

25 × 3 × 121507
Abundant Even Composite

11,664,672 factors as 2^5 × 3 × 121507. Its 24 positive divisors give a proper-divisor sum of 18,955,344, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 121507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 30,620,016
Proper Divisor Sum 18,955,344
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11664671 ← → #11664673

Radix Representation

Decimal 11664672
Binary 101100011111110100100000 (24 bits)
Octal 0o54376440
Hexadecimal 0xB1FD20

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 121,507 243,014 364,521 486,028 729,042 972,056 1,458,084 1,944,112 2,916,168 3,888,224 5,832,336 11,664,672

Collatz Trajectory (96 steps to reach 1)

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

11,664,672 5,832,336 2,916,168 1,458,084 729,042 364,521 1,093,564 546,782 273,391 820,174 410,087 1,230,262 615,131 1,845,394 922,697 2,768,092 1,384,046 692,023 2,076,070 1,038,035 3,114,106 1,557,053 4,671,160 2,335,580 1,167,790 583,895 1,751,686 875,843 2,627,530 1,313,765 3,941,296 1,970,648 985,324 492,662 246,331 738,994 369,497 1,108,492 554,246 277,123 831,370 415,685 1,247,056 623,528 311,764 155,882 77,941 233,824 116,912 58,456 29,228 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332

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